begin
begin
definition
let p be ( (
natural prime ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real )
Prime) ;
let a,
b be ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ;
let P be ( ( ) ( )
Element of
EC_SetProjCo (
a : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ;
func P `1_3 -> ( ( ) ( )
Element of ( ( ) ( )
set ) )
means
for
px,
py,
pz being ( ( ) ( )
set ) st
P : ( ( ) ( )
Element of
a : ( ( ) ( )
set ) )
= [px : ( ( ) ( ) set ) ,py : ( ( ) ( ) set ) ,pz : ( ( ) ( ) set ) ] : ( ( ) (
V29()
triple )
set ) holds
it : ( (
Function-like V32(
[: the carrier of p : ( ( non trivial ) ( non trivial ) set ) : ( ( ) ( ) set ) ,a : ( ( ) ( ) set ) :] : ( ( ) (
V18() )
set ) ,
a : ( ( ) ( )
set ) ) ) (
V18()
Function-like V32(
[: the carrier of p : ( ( non trivial ) ( non trivial ) set ) : ( ( ) ( ) set ) ,a : ( ( ) ( ) set ) :] : ( ( ) (
V18() )
set ) ,
a : ( ( ) ( )
set ) ) )
Element of
bool [:[: the carrier of p : ( ( non trivial ) ( non trivial ) set ) : ( ( ) ( ) set ) ,a : ( ( ) ( ) set ) :] : ( ( ) ( V18() ) set ) ,a : ( ( ) ( ) set ) :] : ( ( ) (
V18() )
set ) : ( ( ) ( non
empty )
set ) )
= px : ( ( ) ( )
set ) ;
func P `2_3 -> ( ( ) ( )
Element of ( ( ) ( )
set ) )
means
for
px,
py,
pz being ( ( ) ( )
set ) st
P : ( ( ) ( )
Element of
a : ( ( ) ( )
set ) )
= [px : ( ( ) ( ) set ) ,py : ( ( ) ( ) set ) ,pz : ( ( ) ( ) set ) ] : ( ( ) (
V29()
triple )
set ) holds
it : ( (
Function-like V32(
[: the carrier of p : ( ( non trivial ) ( non trivial ) set ) : ( ( ) ( ) set ) ,a : ( ( ) ( ) set ) :] : ( ( ) (
V18() )
set ) ,
a : ( ( ) ( )
set ) ) ) (
V18()
Function-like V32(
[: the carrier of p : ( ( non trivial ) ( non trivial ) set ) : ( ( ) ( ) set ) ,a : ( ( ) ( ) set ) :] : ( ( ) (
V18() )
set ) ,
a : ( ( ) ( )
set ) ) )
Element of
bool [:[: the carrier of p : ( ( non trivial ) ( non trivial ) set ) : ( ( ) ( ) set ) ,a : ( ( ) ( ) set ) :] : ( ( ) ( V18() ) set ) ,a : ( ( ) ( ) set ) :] : ( ( ) (
V18() )
set ) : ( ( ) ( non
empty )
set ) )
= py : ( ( ) ( )
set ) ;
func P `3_3 -> ( ( ) ( )
Element of ( ( ) ( )
set ) )
means
for
px,
py,
pz being ( ( ) ( )
set ) st
P : ( ( ) ( )
Element of
a : ( ( ) ( )
set ) )
= [px : ( ( ) ( ) set ) ,py : ( ( ) ( ) set ) ,pz : ( ( ) ( ) set ) ] : ( ( ) (
V29()
triple )
set ) holds
it : ( (
Function-like V32(
[: the carrier of p : ( ( non trivial ) ( non trivial ) set ) : ( ( ) ( ) set ) ,a : ( ( ) ( ) set ) :] : ( ( ) (
V18() )
set ) ,
a : ( ( ) ( )
set ) ) ) (
V18()
Function-like V32(
[: the carrier of p : ( ( non trivial ) ( non trivial ) set ) : ( ( ) ( ) set ) ,a : ( ( ) ( ) set ) :] : ( ( ) (
V18() )
set ) ,
a : ( ( ) ( )
set ) ) )
Element of
bool [:[: the carrier of p : ( ( non trivial ) ( non trivial ) set ) : ( ( ) ( ) set ) ,a : ( ( ) ( ) set ) :] : ( ( ) ( V18() ) set ) ,a : ( ( ) ( ) set ) :] : ( ( ) (
V18() )
set ) : ( ( ) ( non
empty )
set ) )
= pz : ( ( ) ( )
set ) ;
end;
theorem
for
p being ( (
natural prime ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real )
Prime)
for
a,
b being ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
for
P being ( ( ) ( )
Element of
EC_SetProjCo (
a : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) holds
P : ( ( ) ( )
Element of
EC_SetProjCo (
b2 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
= [(P : ( ( ) ( ) Element of EC_SetProjCo (b2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b3 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(P : ( ( ) ( ) Element of EC_SetProjCo (b2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b3 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(P : ( ( ) ( ) Element of EC_SetProjCo (b2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b3 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ] : ( ( ) (
V29()
triple )
Element of
[: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) ) ;
theorem
for
p being ( (
natural prime ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real )
Prime)
for
a,
b being ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
for
P being ( ( ) ( )
Element of
EC_SetProjCo (
a : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
for
Q being ( ( ) ( )
Element of
ProjCo (GF p : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) ) holds
(
P : ( ( ) ( )
Element of
EC_SetProjCo (
b2 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
= Q : ( ( ) ( )
Element of
ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) ) iff (
P : ( ( ) ( )
Element of
EC_SetProjCo (
b2 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
`1_3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= Q : ( ( ) ( )
Element of
ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) )
`1_3 : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) &
P : ( ( ) ( )
Element of
EC_SetProjCo (
b2 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
`2_3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= Q : ( ( ) ( )
Element of
ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) )
`2_3 : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) &
P : ( ( ) ( )
Element of
EC_SetProjCo (
b2 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
`3_3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= Q : ( ( ) ( )
Element of
ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) )
`3_3 : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) ) ) ;
theorem
for
p being ( (
natural prime ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real )
Prime)
for
a,
b,
Px,
Py,
Pz being ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
for
P being ( ( ) ( )
Element of
EC_SetProjCo (
a : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) st
P : ( ( ) ( )
Element of
EC_SetProjCo (
b2 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
= [Px : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,Py : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,Pz : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ] : ( ( ) (
V29()
triple )
Element of
[: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) ) holds
(
P : ( ( ) ( )
Element of
EC_SetProjCo (
b2 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
`1_3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= Px : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) &
P : ( ( ) ( )
Element of
EC_SetProjCo (
b2 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
`2_3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= Py : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) &
P : ( ( ) ( )
Element of
EC_SetProjCo (
b2 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
`3_3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= Pz : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ) ;
definition
let p be ( (
natural prime ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real )
Prime) ;
let P be ( ( ) ( )
Element of
ProjCo (GF p : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) ) ;
let CEQ be ( (
Function-like V32(
[: the carrier of (GF p : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) , the
carrier of
(GF p : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) ) (
V18()
Function-like V32(
[: the carrier of (GF p : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) , the
carrier of
(GF p : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) )
Function of
[: the carrier of (GF p : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) , ( ( ) ( non
empty non
trivial )
set ) ) ;
end;
theorem
for
p being ( (
natural prime ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real )
Prime)
for
a,
b being ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
for
P being ( ( ) ( )
Element of
ProjCo (GF p : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) ) holds
(
P : ( ( ) ( )
Element of
ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) )
is_on_curve EC_WEqProjCo (
a : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real )
Prime) ) : ( (
Function-like V32(
[: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) , the
carrier of
(GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) ) (
V18()
Function-like V32(
[: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) , the
carrier of
(GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) )
Element of
bool [:[: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty V18() )
set ) : ( ( ) ( non
empty )
set ) ) iff
P : ( ( ) ( )
Element of
ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) ) is ( ( ) ( )
Element of
EC_SetProjCo (
a : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ) ;
theorem
for
p being ( (
natural prime ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real )
Prime)
for
a,
b being ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
for
P being ( ( ) ( )
Element of
EC_SetProjCo (
a : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) holds
(((P : ( ( ) ( ) Element of EC_SetProjCo (b2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b3 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo (b2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b3 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
- ((((P : ( ( ) ( ) Element of EC_SetProjCo (b2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b3 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) + ((a : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo (b2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b3 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * ((P : ( ( ) ( ) Element of EC_SetProjCo (b2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b3 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) + (b : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * ((P : ( ( ) ( ) Element of EC_SetProjCo (b2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b3 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
= 0. (GF p : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) (
V55(
GF b1 : ( (
natural prime ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real )
Prime) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) ) )
Element of the
carrier of
(GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) ;
definition
let p be ( (
natural prime ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real )
Prime) ;
let P be ( ( ) ( )
Element of
ProjCo (GF p : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) ) ;
func rep_pt P -> ( ( ) ( )
Element of
ProjCo (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( )
doubleLoopStr ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) :] : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
equals
[((P : ( ( ) ( ) set ) `1_3) : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) * ((P : ( ( ) ( ) set ) `3_3) : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) ") : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) ,((P : ( ( ) ( ) set ) `2_3) : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) * ((P : ( ( ) ( ) set ) `3_3) : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) ") : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) ,1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ] : ( ( ) (
V29()
triple )
Element of
[: the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ,NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) :] : ( ( ) ( )
set ) )
if P : ( ( ) ( )
set )
`3_3 : ( ( ) ( )
Element of the
carrier of
(GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( )
doubleLoopStr ) : ( ( ) ( )
set ) )
<> 0 : ( ( ) (
empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11()
V12()
integer ext-real V18()
non-empty empty-yielding )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
[0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer ext-real V18() non-empty empty-yielding ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ,1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ,0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer ext-real V18() non-empty empty-yielding ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ] : ( ( ) (
V29()
triple )
Element of
[:NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ,NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ,NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) :] : ( ( ) ( non
empty )
set ) )
if P : ( ( ) ( )
set )
`3_3 : ( ( ) ( )
Element of the
carrier of
(GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( )
doubleLoopStr ) : ( ( ) ( )
set ) )
= 0 : ( ( ) (
empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11()
V12()
integer ext-real V18()
non-empty empty-yielding )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
;
end;
theorem
for
p being ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime)
for
z being ( ( ) ( )
Element of
EC_WParam p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( ( ) ( non
empty V18() )
Subset of ( ( ) ( non
empty )
set ) ) )
for
P being ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) holds
(
rep_pt P : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) : ( ( ) ( )
Element of
ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) )
_EQ_ P : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) &
rep_pt P : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) : ( ( ) ( )
Element of
ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) )
in EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ;
theorem
for
p being ( (
natural prime ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real )
Prime)
for
a,
b being ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
for
P being ( ( ) ( )
Element of
ProjCo (GF p : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) ) st
(rep_pt P : ( ( ) ( ) Element of ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( )
Element of
ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) )
`3_3 : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
= 0 : ( ( ) (
empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11()
V12()
integer ext-real V18()
non-empty empty-yielding )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) ) holds
(
rep_pt P : ( ( ) ( )
Element of
ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) ) : ( ( ) ( )
Element of
ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) )
= [0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer ext-real V18() non-empty empty-yielding ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ,1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ,0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer ext-real V18() non-empty empty-yielding ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ] : ( ( ) (
V29()
triple )
Element of
[:NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ,NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ,NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) :] : ( ( ) ( non
empty )
set ) ) &
P : ( ( ) ( )
Element of
ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) )
`3_3 : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
= 0 : ( ( ) (
empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11()
V12()
integer ext-real V18()
non-empty empty-yielding )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) ) ) ;
theorem
for
p being ( (
natural prime ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real )
Prime)
for
a,
b being ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
for
P being ( ( ) ( )
Element of
ProjCo (GF p : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) ) st
(rep_pt P : ( ( ) ( ) Element of ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( )
Element of
ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) )
`3_3 : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
<> 0 : ( ( ) (
empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11()
V12()
integer ext-real V18()
non-empty empty-yielding )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) ) holds
(
rep_pt P : ( ( ) ( )
Element of
ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) ) : ( ( ) ( )
Element of
ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) )
= [((P : ( ( ) ( ) Element of ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * ((P : ( ( ) ( ) Element of ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ") : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ,((P : ( ( ) ( ) Element of ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * ((P : ( ( ) ( ) Element of ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ") : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ,1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ] : ( ( ) (
V29()
triple )
Element of
[: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ,NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) :] : ( ( ) ( non
empty )
set ) ) &
P : ( ( ) ( )
Element of
ProjCo (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) )
`3_3 : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
<> 0 : ( ( ) (
empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11()
V12()
integer ext-real V18()
non-empty empty-yielding )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) ) ) ;
theorem
for
p being ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime)
for
z being ( ( ) ( )
Element of
EC_WParam p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( ( ) ( non
empty V18() )
Subset of ( ( ) ( non
empty )
set ) ) )
for
P,
Q being ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) holds
(
P : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
_EQ_ Q : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) iff
rep_pt P : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) : ( ( ) ( )
Element of
ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) )
= rep_pt Q : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) : ( ( ) ( )
Element of
ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) ) ) ;
begin
definition
let p be ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ;
let z be ( ( ) ( )
Element of
EC_WParam p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( ( ) ( non
empty V18() )
Subset of ( ( ) ( non
empty )
set ) ) ) ;
func compell_ProjCo (
z,
p)
-> ( (
Function-like V32(
EC_SetProjCo (
(z : ( ( ) ( ) set ) `1) : ( ( ) ( )
Element of ( ( ) ( )
set ) ) ,
(z : ( ( ) ( ) set ) `2) : ( ( ) ( )
Element of ( ( ) ( )
set ) ) ,
p : ( ( non
trivial ) ( non
trivial )
set ) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) :] : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(z : ( ( ) ( ) set ) `1) : ( ( ) ( )
Element of ( ( ) ( )
set ) ) ,
(z : ( ( ) ( ) set ) `2) : ( ( ) ( )
Element of ( ( ) ( )
set ) ) ,
p : ( ( non
trivial ) ( non
trivial )
set ) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) :] : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ) (
V18()
Function-like V32(
EC_SetProjCo (
(z : ( ( ) ( ) set ) `1) : ( ( ) ( )
Element of ( ( ) ( )
set ) ) ,
(z : ( ( ) ( ) set ) `2) : ( ( ) ( )
Element of ( ( ) ( )
set ) ) ,
p : ( ( non
trivial ) ( non
trivial )
set ) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) :] : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(z : ( ( ) ( ) set ) `1) : ( ( ) ( )
Element of ( ( ) ( )
set ) ) ,
(z : ( ( ) ( ) set ) `2) : ( ( ) ( )
Element of ( ( ) ( )
set ) ) ,
p : ( ( non
trivial ) ( non
trivial )
set ) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) :] : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) )
Function of
EC_SetProjCo (
(z : ( ( ) ( ) set ) `1) : ( ( ) ( )
Element of ( ( ) ( )
set ) ) ,
(z : ( ( ) ( ) set ) `2) : ( ( ) ( )
Element of ( ( ) ( )
set ) ) ,
p : ( ( non
trivial ) ( non
trivial )
set ) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) :] : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(z : ( ( ) ( ) set ) `1) : ( ( ) ( )
Element of ( ( ) ( )
set ) ) ,
(z : ( ( ) ( ) set ) `2) : ( ( ) ( )
Element of ( ( ) ( )
set ) ) ,
p : ( ( non
trivial ) ( non
trivial )
set ) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) :] : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
means
for
P being ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) set ) `1) : ( ( ) ( )
Element of ( ( ) ( )
set ) ) ,
(z : ( ( ) ( ) set ) `2) : ( ( ) ( )
Element of ( ( ) ( )
set ) ) ,
p : ( ( non
trivial ) ( non
trivial )
set ) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) :] : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) holds
it : ( (
Function-like V32(
[:z : ( ( ) ( ) set ) ,z : ( ( ) ( ) set ) :] : ( ( ) (
V18() )
set ) ,
z : ( ( ) ( )
set ) ) ) (
V18()
Function-like V32(
[:z : ( ( ) ( ) set ) ,z : ( ( ) ( ) set ) :] : ( ( ) (
V18() )
set ) ,
z : ( ( ) ( )
set ) ) )
Element of
bool [:[:z : ( ( ) ( ) set ) ,z : ( ( ) ( ) set ) :] : ( ( ) ( V18() ) set ) ,z : ( ( ) ( ) set ) :] : ( ( ) (
V18() )
set ) : ( ( ) ( non
empty )
set ) )
. P : ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) : ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) set ) `1) : ( ( ) ( )
Element of ( ( ) ( )
set ) ) ,
(z : ( ( ) ( ) set ) `2) : ( ( ) ( )
Element of ( ( ) ( )
set ) ) ,
p : ( ( non
trivial ) ( non
trivial )
set ) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) :] : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
= [(P : ( ( ) ( ) Element of EC_SetProjCo ((z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( ) set ) ) ,(- (P : ( ( ) ( ) Element of EC_SetProjCo ((z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( ) Element of ( ( ) ( ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) ,(P : ( ( ) ( ) Element of EC_SetProjCo ((z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( ) set ) ) ] : ( ( ) (
V29()
triple )
Element of
[: the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) :] : ( ( ) ( )
set ) ) ;
end;
definition
let p be ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ;
let z be ( ( ) ( )
Element of
EC_WParam p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( ( ) ( non
empty V18() )
Subset of ( ( ) ( non
empty )
set ) ) ) ;
let F be ( (
Function-like V32(
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ) (
V18()
Function-like V32(
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) )
Function of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ;
let P be ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ;
.redefine func F . P -> ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) set ) `1) : ( ( ) ( )
Element of ( ( ) ( )
set ) ) ,
(z : ( ( ) ( ) set ) `2) : ( ( ) ( )
Element of ( ( ) ( )
set ) ) ,
p : ( ( non
trivial ) ( non
trivial )
set ) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) :] : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ;
end;
theorem
for
p being ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime)
for
z being ( ( ) ( )
Element of
EC_WParam p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( ( ) ( non
empty V18() )
Subset of ( ( ) ( non
empty )
set ) ) )
for
O being ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) st
O : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
= [0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer ext-real V18() non-empty empty-yielding ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ,1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ,0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer ext-real V18() non-empty empty-yielding ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ] : ( ( ) (
V29()
triple )
Element of
[:NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ,NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ,NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) :] : ( ( ) ( non
empty )
set ) ) holds
(compell_ProjCo (z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) )) : ( (
Function-like V32(
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ) (
V18()
Function-like V32(
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) )
Function of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
. O : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
_EQ_ O : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ;
theorem
for
p being ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime)
for
z being ( ( ) ( )
Element of
EC_WParam p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( ( ) ( non
empty V18() )
Subset of ( ( ) ( non
empty )
set ) ) )
for
P being ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) holds
(compell_ProjCo (z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) )) : ( (
Function-like V32(
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ) (
V18()
Function-like V32(
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) )
Function of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
. ((compell_ProjCo (z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) )) : ( ( Function-like V32( EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) , EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) ) ( V18() Function-like V32( EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) , EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) ) Function of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) , EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) . P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
= P : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ;
theorem
for
p being ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime)
for
z being ( ( ) ( )
Element of
EC_WParam p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( ( ) ( non
empty V18() )
Subset of ( ( ) ( non
empty )
set ) ) )
for
P being ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) st
P : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
`3_3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
<> 0 : ( ( ) (
empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11()
V12()
integer ext-real V18()
non-empty empty-yielding )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) ) holds
rep_pt ((compell_ProjCo (z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) )) : ( ( Function-like V32( EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) , EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) ) ( V18() Function-like V32( EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) , EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) ) Function of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) , EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) . P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) : ( ( ) ( )
Element of
ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) )
= (compell_ProjCo (z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) )) : ( (
Function-like V32(
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ) (
V18()
Function-like V32(
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) )
Function of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
. (rep_pt P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( )
Element of
ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) ) : ( ( ) ( )
set ) ;
theorem
for
p being ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime)
for
z being ( ( ) ( )
Element of
EC_WParam p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( ( ) ( non
empty V18() )
Subset of ( ( ) ( non
empty )
set ) ) )
for
P,
Q being ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) holds
(
P : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
= Q : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) iff
(compell_ProjCo (z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) )) : ( (
Function-like V32(
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ) (
V18()
Function-like V32(
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) )
Function of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
. P : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
= (compell_ProjCo (z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) )) : ( (
Function-like V32(
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ) (
V18()
Function-like V32(
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) )
Function of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
. Q : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ) ;
theorem
for
p being ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime)
for
z being ( ( ) ( )
Element of
EC_WParam p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( ( ) ( non
empty V18() )
Subset of ( ( ) ( non
empty )
set ) ) )
for
P being ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) st
P : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
`3_3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
<> 0 : ( ( ) (
empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11()
V12()
integer ext-real V18()
non-empty empty-yielding )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) ) holds
(
P : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
_EQ_ (compell_ProjCo (z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) )) : ( (
Function-like V32(
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ) (
V18()
Function-like V32(
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) )
Function of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
. P : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) iff
P : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
`2_3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= 0 : ( ( ) (
empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11()
V12()
integer ext-real V18()
non-empty empty-yielding )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) ) ) ;
theorem
for
p being ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime)
for
z being ( ( ) ( )
Element of
EC_WParam p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( ( ) ( non
empty V18() )
Subset of ( ( ) ( non
empty )
set ) ) )
for
P,
Q being ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) st
P : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
`3_3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
<> 0 : ( ( ) (
empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11()
V12()
integer ext-real V18()
non-empty empty-yielding )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) ) holds
( (
P : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
`1_3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= Q : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
`1_3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) &
P : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
`3_3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= Q : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
`3_3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ) iff (
P : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
= Q : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) or
P : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
= (compell_ProjCo (z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) )) : ( (
Function-like V32(
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ) (
V18()
Function-like V32(
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) )
Function of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
. Q : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ) ) ;
theorem
for
p being ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime)
for
z being ( ( ) ( )
Element of
EC_WParam p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( ( ) ( non
empty V18() )
Subset of ( ( ) ( non
empty )
set ) ) )
for
P,
Q being ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) holds
(
P : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
_EQ_ Q : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) iff
(compell_ProjCo (z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) )) : ( (
Function-like V32(
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ) (
V18()
Function-like V32(
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) )
Function of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
. P : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
_EQ_ (compell_ProjCo (z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) )) : ( (
Function-like V32(
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ) (
V18()
Function-like V32(
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) )
Function of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
. Q : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ) ;
theorem
for
p being ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime)
for
z being ( ( ) ( )
Element of
EC_WParam p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( ( ) ( non
empty V18() )
Subset of ( ( ) ( non
empty )
set ) ) )
for
P,
Q being ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) holds
(
P : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
_EQ_ (compell_ProjCo (z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) )) : ( (
Function-like V32(
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ) (
V18()
Function-like V32(
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) )
Function of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
. Q : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) iff
(compell_ProjCo (z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) )) : ( (
Function-like V32(
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ) (
V18()
Function-like V32(
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) )
Function of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
. P : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
_EQ_ Q : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ) ;
theorem
for
p being ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime)
for
z being ( ( ) ( )
Element of
EC_WParam p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( ( ) ( non
empty V18() )
Subset of ( ( ) ( non
empty )
set ) ) )
for
P,
Q being ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) st
P : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
`3_3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
<> 0 : ( ( ) (
empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11()
V12()
integer ext-real V18()
non-empty empty-yielding )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) ) &
Q : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
`3_3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
<> 0 : ( ( ) (
empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11()
V12()
integer ext-real V18()
non-empty empty-yielding )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) ) holds
(
rep_pt P : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) : ( ( ) ( )
Element of
ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) )
= (compell_ProjCo (z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) )) : ( (
Function-like V32(
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ) (
V18()
Function-like V32(
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) )
Function of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
. (rep_pt Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( )
Element of
ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) ) : ( ( ) ( )
set ) iff
P : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
_EQ_ (compell_ProjCo (z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) )) : ( (
Function-like V32(
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ) (
V18()
Function-like V32(
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) )
Function of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
. Q : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ) ;
theorem
for
p being ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime)
for
z being ( ( ) ( )
Element of
EC_WParam p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( ( ) ( non
empty V18() )
Subset of ( ( ) ( non
empty )
set ) ) )
for
P,
Q being ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) st
P : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
_EQ_ Q : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) holds
(P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
* (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
= (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
* (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) ;
theorem
for
p being ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime)
for
z being ( ( ) ( )
Element of
EC_WParam p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( ( ) ( non
empty V18() )
Subset of ( ( ) ( non
empty )
set ) ) )
for
P,
Q being ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) st
P : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
`3_3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
<> 0 : ( ( ) (
empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11()
V12()
integer ext-real V18()
non-empty empty-yielding )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) ) &
Q : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
`3_3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
<> 0 : ( ( ) (
empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11()
V12()
integer ext-real V18()
non-empty empty-yielding )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) ) holds
( (
P : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
_EQ_ Q : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) or
P : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
_EQ_ (compell_ProjCo (z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) )) : ( (
Function-like V32(
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ) (
V18()
Function-like V32(
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) )
Function of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
. Q : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ) iff
(P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
* (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
= (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
* (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) ) ;
theorem
for
p being ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime)
for
z being ( ( ) ( )
Element of
EC_WParam p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( ( ) ( non
empty V18() )
Subset of ( ( ) ( non
empty )
set ) ) )
for
P,
Q being ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) st
P : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
`3_3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
<> 0 : ( ( ) (
empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11()
V12()
integer ext-real V18()
non-empty empty-yielding )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) ) &
Q : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
`3_3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
<> 0 : ( ( ) (
empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11()
V12()
integer ext-real V18()
non-empty empty-yielding )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) ) &
P : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
`2_3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
<> 0 : ( ( ) (
empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11()
V12()
integer ext-real V18()
non-empty empty-yielding )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) ) &
P : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
_EQ_ (compell_ProjCo (z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) )) : ( (
Function-like V32(
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ) (
V18()
Function-like V32(
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) )
Function of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
. Q : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) holds
(P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
* (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
<> (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
* (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) ;
theorem
for
p being ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime)
for
z being ( ( ) ( )
Element of
EC_WParam p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( ( ) ( non
empty V18() )
Subset of ( ( ) ( non
empty )
set ) ) )
for
P,
Q being ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) st not
P : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
_EQ_ Q : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) &
P : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
_EQ_ (compell_ProjCo (z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) )) : ( (
Function-like V32(
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ) (
V18()
Function-like V32(
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) )
Function of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
. Q : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) holds
(P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
* (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
<> (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
* (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) ;
theorem
for
p being ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime)
for
z being ( ( ) ( )
Element of
EC_WParam p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( ( ) ( non
empty V18() )
Subset of ( ( ) ( non
empty )
set ) ) )
for
g3 being ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
for
P being ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) st
g3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= 3 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
mod p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( (
integer ) (
V11()
V12()
integer ext-real )
set ) &
P : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
`2_3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= 0 : ( ( ) (
empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11()
V12()
integer ext-real V18()
non-empty empty-yielding )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) ) &
P : ( ( ) ( )
Element of
EC_SetProjCo (
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
`3_3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
<> 0 : ( ( ) (
empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11()
V12()
integer ext-real V18()
non-empty empty-yielding )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) ) holds
((z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * ((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
+ (g3 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * ((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
<> 0 : ( ( ) (
empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11()
V12()
integer ext-real V18()
non-empty empty-yielding )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) ) ;
theorem
for
p being ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime)
for
z being ( ( ) ( )
Element of
EC_WParam p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( ( ) ( non
empty V18() )
Subset of ( ( ) ( non
empty )
set ) ) )
for
g2,
gf1,
gf2,
gf3 being ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
for
P,
Q being ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
for
R being ( ( ) ( )
Element of
[: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) ) st
g2 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= 2 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
mod p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( (
integer ) (
V11()
V12()
integer ext-real )
set ) &
gf1 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= ((Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
- ((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) &
gf2 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= ((Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
- ((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) &
gf3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= ((((gf1 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) - (gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
- (((g2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) &
R : ( ( ) ( )
Element of
[: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) )
= [(gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * gf3 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ,((gf1 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * ((((gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) - gf3 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) - (((gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ,(((gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ] : ( ( ) (
V29()
triple )
Element of
[: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) ) holds
(gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
* (R : ( ( ) ( ) Element of [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) ) `2_3) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
= - ((gf1 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (((R : ( ( ) ( ) Element of [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) ) `1_3) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) - ((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (R : ( ( ) ( ) Element of [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) ) `3_3) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) + ((gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (R : ( ( ) ( ) Element of [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) ) `3_3) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) ;
theorem
for
p being ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime)
for
z being ( ( ) ( )
Element of
EC_WParam p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( ( ) ( non
empty V18() )
Subset of ( ( ) ( non
empty )
set ) ) )
for
g2,
gf1,
gf2,
gf3 being ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
for
P,
Q being ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
for
R being ( ( ) ( )
Element of
[: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) ) st
g2 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= 2 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
mod p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( (
integer ) (
V11()
V12()
integer ext-real )
set ) &
gf1 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= ((Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
- ((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) &
gf2 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= ((Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
- ((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) &
gf3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= ((((gf1 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) - (gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
- (((g2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) &
R : ( ( ) ( )
Element of
[: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) )
= [(gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * gf3 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ,((gf1 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * ((((gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) - gf3 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) - (((gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ,(((gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ] : ( ( ) (
V29()
triple )
Element of
[: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) ) holds
(- ((gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (((((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (R : ( ( ) ( ) Element of [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) ) `1_3) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) + (((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (R : ( ( ) ( ) Element of [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) ) `3_3) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) + (((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (R : ( ( ) ( ) Element of [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) ) `3_3) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
+ ((((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (R : ( ( ) ( ) Element of [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) ) `3_3) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (gf1 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
= 0. (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) (
V55(
GF b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) ) )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) ;
theorem
for
p being ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime)
for
z being ( ( ) ( )
Element of
EC_WParam p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( ( ) ( non
empty V18() )
Subset of ( ( ) ( non
empty )
set ) ) )
for
g2,
gf1,
gf2,
gf3 being ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
for
P,
Q being ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
for
R being ( ( ) ( )
Element of
[: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) ) st
g2 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= 2 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
mod p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( (
integer ) (
V11()
V12()
integer ext-real )
set ) &
gf1 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= ((Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
- ((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) &
gf2 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= ((Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
- ((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) &
gf3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= ((((gf1 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) - (gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
- (((g2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) &
R : ( ( ) ( )
Element of
[: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) )
= [(gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * gf3 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ,((gf1 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * ((((gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) - gf3 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) - (((gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ,(((gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ] : ( ( ) (
V29()
triple )
Element of
[: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) ) holds
((((z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * ((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
* (R : ( ( ) ( ) Element of [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) ) `3_3) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
= (- (((((gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (R : ( ( ) ( ) Element of [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) ) `1_3) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
+ (((((gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) - (gf1 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (R : ( ( ) ( ) Element of [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) ) `3_3) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) ;
theorem
for
p being ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime)
for
z being ( ( ) ( )
Element of
EC_WParam p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( ( ) ( non
empty V18() )
Subset of ( ( ) ( non
empty )
set ) ) )
for
g2,
gf1,
gf2,
gf3 being ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
for
P,
Q being ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
for
R being ( ( ) ( )
Element of
[: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) ) st
g2 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= 2 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
mod p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( (
integer ) (
V11()
V12()
integer ext-real )
set ) &
gf1 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= ((Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
- ((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) &
gf2 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= ((Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
- ((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) &
gf3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= ((((gf1 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) - (gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
- (((g2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) &
R : ( ( ) ( )
Element of
[: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) )
= [(gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * gf3 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ,((gf1 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * ((((gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) - gf3 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) - (((gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ,(((gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ] : ( ( ) (
V29()
triple )
Element of
[: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) ) holds
((((z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
* (R : ( ( ) ( ) Element of [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) ) `3_3) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
= ((gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (((((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (R : ( ( ) ( ) Element of [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) ) `3_3) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) + (((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (R : ( ( ) ( ) Element of [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) ) `1_3) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) + (((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (R : ( ( ) ( ) Element of [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) ) `1_3) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
+ ((((g2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * gf1 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (R : ( ( ) ( ) Element of [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) ) `3_3) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * ((gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) - (gf1 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) ;
theorem
for
p being ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime)
for
z being ( ( ) ( )
Element of
EC_WParam p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( ( ) ( non
empty V18() )
Subset of ( ( ) ( non
empty )
set ) ) )
for
g2,
gf1,
gf2,
gf3 being ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
for
P,
Q being ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
for
R being ( ( ) ( )
Element of
[: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) ) st
g2 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= 2 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
mod p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( (
integer ) (
V11()
V12()
integer ext-real )
set ) &
gf1 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= ((Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
- ((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) &
gf2 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= ((Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
- ((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) &
gf3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= ((((gf1 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) - (gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
- (((g2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) &
R : ( ( ) ( )
Element of
[: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) )
= [(gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * gf3 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ,((gf1 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * ((((gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) - gf3 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) - (((gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ,(((gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ] : ( ( ) (
V29()
triple )
Element of
[: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) ) holds
(((gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * ((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
* ((((R : ( ( ) ( ) Element of [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) ) `2_3) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (R : ( ( ) ( ) Element of [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) ) `3_3) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) - ((((R : ( ( ) ( ) Element of [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) ) `1_3) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) |^ 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) + (((z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (R : ( ( ) ( ) Element of [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) ) `1_3) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * ((R : ( ( ) ( ) Element of [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) ) `3_3) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) + ((z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * ((R : ( ( ) ( ) Element of [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) ) `3_3) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) |^ 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
= 0. (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) (
V55(
GF b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) ) )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) ;
theorem
for
p being ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime)
for
z being ( ( ) ( )
Element of
EC_WParam p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( ( ) ( non
empty V18() )
Subset of ( ( ) ( non
empty )
set ) ) )
for
g2,
g3,
g4,
g8,
gf1,
gf2,
gf3,
gf4 being ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
for
P being ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
for
R being ( ( ) ( )
Element of
[: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) ) st
g2 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= 2 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
mod p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( (
integer ) (
V11()
V12()
integer ext-real )
set ) &
g3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= 3 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
mod p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( (
integer ) (
V11()
V12()
integer ext-real )
set ) &
g4 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= 4 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
mod p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( (
integer ) (
V11()
V12()
integer ext-real )
set ) &
g8 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= 8 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
mod p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( (
integer ) (
V11()
V12()
integer ext-real )
set ) &
gf1 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= ((z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * ((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
+ (g3 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * ((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) &
gf2 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
* (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) &
gf3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= ((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
* gf2 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) &
gf4 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= (gf1 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
- (g8 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * gf3 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) &
R : ( ( ) ( )
Element of
[: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) )
= [((g2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * gf4 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ,((gf1 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * ((g4 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * gf3 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) - gf4 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) - ((g8 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * ((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ,(g8 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ] : ( ( ) (
V29()
triple )
Element of
[: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) ) holds
((g2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
* (R : ( ( ) ( ) Element of [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) ) `2_3) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
= - ((gf1 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (R : ( ( ) ( ) Element of [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) ) `1_3) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) - ((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (R : ( ( ) ( ) Element of [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) ) `3_3) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) + (((g2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (R : ( ( ) ( ) Element of [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) ) `3_3) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) ;
theorem
for
p being ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime)
for
z being ( ( ) ( )
Element of
EC_WParam p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( ( ) ( non
empty V18() )
Subset of ( ( ) ( non
empty )
set ) ) )
for
g2,
g3,
g4,
g8,
gf1,
gf2,
gf3,
gf4 being ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
for
P being ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
for
R being ( ( ) ( )
Element of
[: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) ) st
g2 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= 2 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
mod p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( (
integer ) (
V11()
V12()
integer ext-real )
set ) &
g3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= 3 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
mod p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( (
integer ) (
V11()
V12()
integer ext-real )
set ) &
g4 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= 4 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
mod p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( (
integer ) (
V11()
V12()
integer ext-real )
set ) &
g8 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= 8 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
mod p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( (
integer ) (
V11()
V12()
integer ext-real )
set ) &
gf1 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= ((z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * ((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
+ (g3 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * ((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) &
gf2 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
* (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) &
gf3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= ((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
* gf2 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) &
gf4 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= (gf1 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
- (g8 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * gf3 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) &
R : ( ( ) ( )
Element of
[: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) )
= [((g2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * gf4 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ,((gf1 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * ((g4 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * gf3 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) - gf4 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) - ((g8 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * ((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ,(g8 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ] : ( ( ) (
V29()
triple )
Element of
[: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) ) holds
((g4 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
* (R : ( ( ) ( ) Element of [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) ) `1_3) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
= (R : ( ( ) ( ) Element of [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) ) `3_3) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
* (((gf1 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) - ((g8 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) ;
theorem
for
p being ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime)
for
z being ( ( ) ( )
Element of
EC_WParam p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( ( ) ( non
empty V18() )
Subset of ( ( ) ( non
empty )
set ) ) )
for
g2,
g3,
g4,
g8,
gf1,
gf2,
gf3,
gf4 being ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
for
P being ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
for
R being ( ( ) ( )
Element of
[: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) ) st
g2 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= 2 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
mod p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( (
integer ) (
V11()
V12()
integer ext-real )
set ) &
g3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= 3 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
mod p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( (
integer ) (
V11()
V12()
integer ext-real )
set ) &
g4 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= 4 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
mod p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( (
integer ) (
V11()
V12()
integer ext-real )
set ) &
g8 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= 8 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
mod p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( (
integer ) (
V11()
V12()
integer ext-real )
set ) &
gf1 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= ((z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * ((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
+ (g3 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * ((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) &
gf2 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
* (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) &
gf3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= ((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
* gf2 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) &
gf4 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= (gf1 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
- (g8 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * gf3 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) &
R : ( ( ) ( )
Element of
[: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) )
= [((g2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * gf4 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ,((gf1 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * ((g4 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * gf3 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) - gf4 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) - ((g8 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * ((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ,(g8 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ] : ( ( ) (
V29()
triple )
Element of
[: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) ) holds
((g4 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * ((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
* ((z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (R : ( ( ) ( ) Element of [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) ) `3_3) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
= ((R : ( ( ) ( ) Element of [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) ) `3_3) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * ((((g2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) - (gf1 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
- (((g4 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * ((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (R : ( ( ) ( ) Element of [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) ) `1_3) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) ;
theorem
for
p being ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime)
for
z being ( ( ) ( )
Element of
EC_WParam p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( ( ) ( non
empty V18() )
Subset of ( ( ) ( non
empty )
set ) ) )
for
g2,
g3,
g4,
g8,
gf1,
gf2,
gf3,
gf4 being ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
for
P being ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
for
R being ( ( ) ( )
Element of
[: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) ) st
g2 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= 2 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
mod p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( (
integer ) (
V11()
V12()
integer ext-real )
set ) &
g3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= 3 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
mod p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( (
integer ) (
V11()
V12()
integer ext-real )
set ) &
g4 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= 4 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
mod p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( (
integer ) (
V11()
V12()
integer ext-real )
set ) &
g8 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= 8 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
mod p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( (
integer ) (
V11()
V12()
integer ext-real )
set ) &
gf1 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= ((z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * ((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
+ (g3 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * ((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) &
gf2 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
* (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) &
gf3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= ((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
* gf2 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) &
gf4 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= (gf1 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
- (g8 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * gf3 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) &
R : ( ( ) ( )
Element of
[: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) )
= [((g2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * gf4 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ,((gf1 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * ((g4 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * gf3 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) - gf4 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) - ((g8 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * ((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ,(g8 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ] : ( ( ) (
V29()
triple )
Element of
[: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) ) holds
((g2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * ((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
* ((z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (R : ( ( ) ( ) Element of [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) ) `3_3) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
= (((gf1 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (R : ( ( ) ( ) Element of [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) ) `3_3) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (((g2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) - (gf1 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
+ ((gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * ((((g4 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (R : ( ( ) ( ) Element of [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) ) `1_3) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) + ((g2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * ((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (R : ( ( ) ( ) Element of [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) ) `3_3) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) ;
theorem
for
p being ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime)
for
z being ( ( ) ( )
Element of
EC_WParam p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( ( ) ( non
empty V18() )
Subset of ( ( ) ( non
empty )
set ) ) )
for
g2,
g3,
g4,
g8,
gf1,
gf2,
gf3,
gf4 being ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
for
P being ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
for
R being ( ( ) ( )
Element of
[: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) ) st
g2 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= 2 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
mod p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( (
integer ) (
V11()
V12()
integer ext-real )
set ) &
g3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= 3 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
mod p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( (
integer ) (
V11()
V12()
integer ext-real )
set ) &
g4 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= 4 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
mod p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( (
integer ) (
V11()
V12()
integer ext-real )
set ) &
g8 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= 8 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
mod p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( (
integer ) (
V11()
V12()
integer ext-real )
set ) &
gf1 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= ((z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * ((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
+ (g3 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * ((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) &
gf2 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
* (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) &
gf3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= ((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
* gf2 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) &
gf4 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= (gf1 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
- (g8 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * gf3 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) &
R : ( ( ) ( )
Element of
[: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) )
= [((g2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * gf4 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ,((gf1 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * ((g4 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * gf3 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) - gf4 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) - ((g8 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * ((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ,(g8 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ] : ( ( ) (
V29()
triple )
Element of
[: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) ) holds
((g4 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * ((P : ( ( ) ( ) Element of EC_SetProjCo ((b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(b2 : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
* ((((R : ( ( ) ( ) Element of [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) ) `2_3) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * (R : ( ( ) ( ) Element of [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) ) `3_3) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) - ((((R : ( ( ) ( ) Element of [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) ) `1_3) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) |^ 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) + (((z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (R : ( ( ) ( ) Element of [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) ) `1_3) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) * ((R : ( ( ) ( ) Element of [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) ) `3_3) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) + ((z : ( ( ) ( ) Element of EC_WParam b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * ((R : ( ( ) ( ) Element of [: the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) ) `3_3) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) |^ 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) )
= 0. (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) (
V55(
GF b1 : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) ) )
Element of the
carrier of
(GF b1 : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non
empty non
degenerated non
trivial right_complementable almost_left_invertible strict V147()
V148()
V149()
unital V166()
V168()
V170()
right-distributive left-distributive right_unital well-unital V183()
left_unital )
doubleLoopStr ) : ( ( ) ( non
empty non
trivial )
set ) ) ;
definition
let p be ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ;
let z be ( ( ) ( )
Element of
EC_WParam p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( ( ) ( non
empty V18() )
Subset of ( ( ) ( non
empty )
set ) ) ) ;
func addell_ProjCo (
z,
p)
-> ( (
Function-like V32(
[:(EC_SetProjCo ((z : ( ( ) ( ) set ) `1) : ( ( ) ( ) Element of ( ( ) ( ) set ) ) ,(z : ( ( ) ( ) set ) `2) : ( ( ) ( ) Element of ( ( ) ( ) set ) ) ,p : ( ( non trivial ) ( non trivial ) set ) )) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) :] : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ,(EC_SetProjCo ((z : ( ( ) ( ) set ) `1) : ( ( ) ( ) Element of ( ( ) ( ) set ) ) ,(z : ( ( ) ( ) set ) `2) : ( ( ) ( ) Element of ( ( ) ( ) set ) ) ,p : ( ( non trivial ) ( non trivial ) set ) )) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) :] : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) :] : ( ( ) ( non
empty V18() )
Element of
bool [:(ProjCo (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) :] : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ,(ProjCo (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) :] : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) :] : ( ( ) ( non
empty V18() )
set ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(z : ( ( ) ( ) set ) `1) : ( ( ) ( )
Element of ( ( ) ( )
set ) ) ,
(z : ( ( ) ( ) set ) `2) : ( ( ) ( )
Element of ( ( ) ( )
set ) ) ,
p : ( ( non
trivial ) ( non
trivial )
set ) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) :] : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ) (
V18()
Function-like V32(
[:(EC_SetProjCo ((z : ( ( ) ( ) set ) `1) : ( ( ) ( ) Element of ( ( ) ( ) set ) ) ,(z : ( ( ) ( ) set ) `2) : ( ( ) ( ) Element of ( ( ) ( ) set ) ) ,p : ( ( non trivial ) ( non trivial ) set ) )) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) :] : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ,(EC_SetProjCo ((z : ( ( ) ( ) set ) `1) : ( ( ) ( ) Element of ( ( ) ( ) set ) ) ,(z : ( ( ) ( ) set ) `2) : ( ( ) ( ) Element of ( ( ) ( ) set ) ) ,p : ( ( non trivial ) ( non trivial ) set ) )) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) :] : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) :] : ( ( ) ( non
empty V18() )
Element of
bool [:(ProjCo (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) :] : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ,(ProjCo (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) :] : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) :] : ( ( ) ( non
empty V18() )
set ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(z : ( ( ) ( ) set ) `1) : ( ( ) ( )
Element of ( ( ) ( )
set ) ) ,
(z : ( ( ) ( ) set ) `2) : ( ( ) ( )
Element of ( ( ) ( )
set ) ) ,
p : ( ( non
trivial ) ( non
trivial )
set ) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) :] : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) )
Function of
[:(EC_SetProjCo ((z : ( ( ) ( ) set ) `1) : ( ( ) ( ) Element of ( ( ) ( ) set ) ) ,(z : ( ( ) ( ) set ) `2) : ( ( ) ( ) Element of ( ( ) ( ) set ) ) ,p : ( ( non trivial ) ( non trivial ) set ) )) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) :] : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ,(EC_SetProjCo ((z : ( ( ) ( ) set ) `1) : ( ( ) ( ) Element of ( ( ) ( ) set ) ) ,(z : ( ( ) ( ) set ) `2) : ( ( ) ( ) Element of ( ( ) ( ) set ) ) ,p : ( ( non trivial ) ( non trivial ) set ) )) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) :] : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) :] : ( ( ) ( non
empty V18() )
Element of
bool [:(ProjCo (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) :] : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ,(ProjCo (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) :] : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) :] : ( ( ) ( non
empty V18() )
set ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(z : ( ( ) ( ) set ) `1) : ( ( ) ( )
Element of ( ( ) ( )
set ) ) ,
(z : ( ( ) ( ) set ) `2) : ( ( ) ( )
Element of ( ( ) ( )
set ) ) ,
p : ( ( non
trivial ) ( non
trivial )
set ) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) :] : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
means
for
P,
Q,
O being ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) set ) `1) : ( ( ) ( )
Element of ( ( ) ( )
set ) ) ,
(z : ( ( ) ( ) set ) `2) : ( ( ) ( )
Element of ( ( ) ( )
set ) ) ,
p : ( ( non
trivial ) ( non
trivial )
set ) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) :] : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) st
O : ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
= [0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer ext-real V18() non-empty empty-yielding ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ,1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ,0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer ext-real V18() non-empty empty-yielding ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ] : ( ( ) (
V29()
triple )
Element of
[:NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ,NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ,NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) :] : ( ( ) ( non
empty )
set ) ) holds
( (
P : ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
_EQ_ O : ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) implies
it : ( (
Function-like V32(
[:z : ( ( ) ( ) set ) ,z : ( ( ) ( ) set ) :] : ( ( ) (
V18() )
set ) ,
z : ( ( ) ( )
set ) ) ) (
V18()
Function-like V32(
[:z : ( ( ) ( ) set ) ,z : ( ( ) ( ) set ) :] : ( ( ) (
V18() )
set ) ,
z : ( ( ) ( )
set ) ) )
Element of
bool [:[:z : ( ( ) ( ) set ) ,z : ( ( ) ( ) set ) :] : ( ( ) ( V18() ) set ) ,z : ( ( ) ( ) set ) :] : ( ( ) (
V18() )
set ) : ( ( ) ( non
empty )
set ) )
. (
P : ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ,
Q : ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ) : ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) set ) `1) : ( ( ) ( )
Element of ( ( ) ( )
set ) ) ,
(z : ( ( ) ( ) set ) `2) : ( ( ) ( )
Element of ( ( ) ( )
set ) ) ,
p : ( ( non
trivial ) ( non
trivial )
set ) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) :] : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
= Q : ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ) & (
Q : ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
_EQ_ O : ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) & not
P : ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
_EQ_ O : ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) implies
it : ( (
Function-like V32(
[:z : ( ( ) ( ) set ) ,z : ( ( ) ( ) set ) :] : ( ( ) (
V18() )
set ) ,
z : ( ( ) ( )
set ) ) ) (
V18()
Function-like V32(
[:z : ( ( ) ( ) set ) ,z : ( ( ) ( ) set ) :] : ( ( ) (
V18() )
set ) ,
z : ( ( ) ( )
set ) ) )
Element of
bool [:[:z : ( ( ) ( ) set ) ,z : ( ( ) ( ) set ) :] : ( ( ) ( V18() ) set ) ,z : ( ( ) ( ) set ) :] : ( ( ) (
V18() )
set ) : ( ( ) ( non
empty )
set ) )
. (
P : ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ,
Q : ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ) : ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) set ) `1) : ( ( ) ( )
Element of ( ( ) ( )
set ) ) ,
(z : ( ( ) ( ) set ) `2) : ( ( ) ( )
Element of ( ( ) ( )
set ) ) ,
p : ( ( non
trivial ) ( non
trivial )
set ) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) :] : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
= P : ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ) & ( not
P : ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
_EQ_ O : ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) & not
Q : ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
_EQ_ O : ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) & not
P : ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
_EQ_ Q : ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) implies for
g2,
gf1,
gf2,
gf3 being ( ( ) ( )
Element of ( ( ) ( )
set ) ) st
g2 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= 2 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
mod p : ( ( non
trivial ) ( non
trivial )
set ) : ( (
integer ) (
V11()
V12()
integer ext-real )
set ) &
gf1 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= ((Q : ( ( ) ( ) Element of EC_SetProjCo ((z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( ) Element of ( ( ) ( ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( )
doubleLoopStr ) : ( ( ) ( )
set ) )
- ((P : ( ( ) ( ) Element of EC_SetProjCo ((z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( ) Element of ( ( ) ( ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( )
doubleLoopStr ) : ( ( ) ( )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( )
doubleLoopStr ) : ( ( ) ( )
set ) ) &
gf2 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= ((Q : ( ( ) ( ) Element of EC_SetProjCo ((z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( )
doubleLoopStr ) : ( ( ) ( )
set ) )
- ((P : ( ( ) ( ) Element of EC_SetProjCo ((z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( )
doubleLoopStr ) : ( ( ) ( )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( )
doubleLoopStr ) : ( ( ) ( )
set ) ) &
gf3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= ((((gf1 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) - (gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( )
doubleLoopStr ) : ( ( ) ( )
set ) )
- (((g2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( )
doubleLoopStr ) : ( ( ) ( )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( )
doubleLoopStr ) : ( ( ) ( )
set ) ) holds
it : ( (
Function-like V32(
[:z : ( ( ) ( ) set ) ,z : ( ( ) ( ) set ) :] : ( ( ) (
V18() )
set ) ,
z : ( ( ) ( )
set ) ) ) (
V18()
Function-like V32(
[:z : ( ( ) ( ) set ) ,z : ( ( ) ( ) set ) :] : ( ( ) (
V18() )
set ) ,
z : ( ( ) ( )
set ) ) )
Element of
bool [:[:z : ( ( ) ( ) set ) ,z : ( ( ) ( ) set ) :] : ( ( ) ( V18() ) set ) ,z : ( ( ) ( ) set ) :] : ( ( ) (
V18() )
set ) : ( ( ) ( non
empty )
set ) )
. (
P : ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ,
Q : ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ) : ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) set ) `1) : ( ( ) ( )
Element of ( ( ) ( )
set ) ) ,
(z : ( ( ) ( ) set ) `2) : ( ( ) ( )
Element of ( ( ) ( )
set ) ) ,
p : ( ( non
trivial ) ( non
trivial )
set ) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) :] : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
= [(gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * gf3 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) ,((gf1 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * ((((gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) - gf3 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) - (((gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( ) Element of ( ( ) ( ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) ,(((gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) * (Q : ( ( ) ( ) Element of EC_SetProjCo ((z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) ] : ( ( ) (
V29()
triple )
Element of
[: the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) :] : ( ( ) ( )
set ) ) ) & ( not
P : ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
_EQ_ O : ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) & not
Q : ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
_EQ_ O : ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) &
P : ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
_EQ_ Q : ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) implies for
g2,
g3,
g4,
g8,
gf1,
gf2,
gf3,
gf4 being ( ( ) ( )
Element of ( ( ) ( )
set ) ) st
g2 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= 2 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
mod p : ( ( non
trivial ) ( non
trivial )
set ) : ( (
integer ) (
V11()
V12()
integer ext-real )
set ) &
g3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= 3 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
mod p : ( ( non
trivial ) ( non
trivial )
set ) : ( (
integer ) (
V11()
V12()
integer ext-real )
set ) &
g4 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= 4 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
mod p : ( ( non
trivial ) ( non
trivial )
set ) : ( (
integer ) (
V11()
V12()
integer ext-real )
set ) &
g8 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= 8 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
mod p : ( ( non
trivial ) ( non
trivial )
set ) : ( (
integer ) (
V11()
V12()
integer ext-real )
set ) &
gf1 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= ((z : ( ( ) ( ) set ) `1) : ( ( ) ( ) Element of ( ( ) ( ) set ) ) * ((P : ( ( ) ( ) Element of EC_SetProjCo ((z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( ) Element of ( ( ) ( ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( )
doubleLoopStr ) : ( ( ) ( )
set ) )
+ (g3 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * ((P : ( ( ) ( ) Element of EC_SetProjCo ((z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( )
doubleLoopStr ) : ( ( ) ( )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( )
doubleLoopStr ) : ( ( ) ( )
set ) ) &
gf2 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= (P : ( ( ) ( ) Element of EC_SetProjCo ((z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( )
Element of ( ( ) ( )
set ) )
* (P : ( ( ) ( ) Element of EC_SetProjCo ((z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `3_3) : ( ( ) ( )
Element of ( ( ) ( )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( )
doubleLoopStr ) : ( ( ) ( )
set ) ) &
gf3 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= ((P : ( ( ) ( ) Element of EC_SetProjCo ((z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `1_3) : ( ( ) ( ) Element of ( ( ) ( ) set ) ) * (P : ( ( ) ( ) Element of EC_SetProjCo ((z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( ) Element of ( ( ) ( ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( )
doubleLoopStr ) : ( ( ) ( )
set ) )
* gf2 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( )
doubleLoopStr ) : ( ( ) ( )
set ) ) &
gf4 : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) )
= (gf1 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( )
doubleLoopStr ) : ( ( ) ( )
set ) )
- (g8 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * gf3 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
(GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( )
doubleLoopStr ) : ( ( ) ( )
set ) ) : ( ( ) ( )
Element of the
carrier of
(GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( )
doubleLoopStr ) : ( ( ) ( )
set ) ) holds
it : ( (
Function-like V32(
[:z : ( ( ) ( ) set ) ,z : ( ( ) ( ) set ) :] : ( ( ) (
V18() )
set ) ,
z : ( ( ) ( )
set ) ) ) (
V18()
Function-like V32(
[:z : ( ( ) ( ) set ) ,z : ( ( ) ( ) set ) :] : ( ( ) (
V18() )
set ) ,
z : ( ( ) ( )
set ) ) )
Element of
bool [:[:z : ( ( ) ( ) set ) ,z : ( ( ) ( ) set ) :] : ( ( ) ( V18() ) set ) ,z : ( ( ) ( ) set ) :] : ( ( ) (
V18() )
set ) : ( ( ) ( non
empty )
set ) )
. (
P : ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ,
Q : ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ) : ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) set ) `1) : ( ( ) ( )
Element of ( ( ) ( )
set ) ) ,
(z : ( ( ) ( ) set ) `2) : ( ( ) ( )
Element of ( ( ) ( )
set ) ) ,
p : ( ( non
trivial ) ( non
trivial )
set ) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) :] : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) )
= [((g2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * gf4 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) * gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) ,((gf1 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * ((g4 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * gf3 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) - gf4 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) - ((g8 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * ((P : ( ( ) ( ) Element of EC_SetProjCo ((z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ) `2_3) : ( ( ) ( ) Element of ( ( ) ( ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) * (gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) ,(g8 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) * (gf2 : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) |^ 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) Element of the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) ) ] : ( ( ) (
V29()
triple )
Element of
[: the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) :] : ( ( ) ( )
set ) ) ) );
end;
definition
let p be ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ;
let z be ( ( ) ( )
Element of
EC_WParam p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) : ( ( ) ( non
empty V18() )
Subset of ( ( ) ( non
empty )
set ) ) ) ;
let F be ( (
Function-like V32(
[:(EC_SetProjCo ((z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) )) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ,(EC_SetProjCo ((z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) )) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) :] : ( ( ) ( non
empty V18() )
Element of
bool [:(ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ,(ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) :] : ( ( ) ( non
empty V18() )
set ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ) (
V18()
Function-like V32(
[:(EC_SetProjCo ((z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) )) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ,(EC_SetProjCo ((z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) )) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) :] : ( ( ) ( non
empty V18() )
Element of
bool [:(ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ,(ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) :] : ( ( ) ( non
empty V18() )
set ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) )
Function of
[:(EC_SetProjCo ((z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) )) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ,(EC_SetProjCo ((z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( ) Element of ( ( ) ( non empty non trivial ) set ) ) ,p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) )) : ( ( non empty ) ( non empty ) Element of bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) :] : ( ( ) ( non
empty V18() )
Element of
bool [:(ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ,(ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non empty ) ( non empty ) Element of bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) :] : ( ( ) ( non
empty V18() )
set ) : ( ( ) ( non
empty )
set ) ) ,
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ;
let Q,
R be ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `1) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
(z : ( ( ) ( ) Element of EC_WParam p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) : ( ( ) ( non empty V18() ) Subset of ( ( ) ( non empty ) set ) ) ) `2) : ( ( ) ( )
Element of ( ( ) ( non
empty non
trivial )
set ) ) ,
p : ( (
natural prime 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer prime ext-real 5 : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal natural V11()
V12()
integer ext-real positive )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
bool REAL : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) )
_or_greater )
Prime) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) , the carrier of (GF p : ( ( natural prime 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( non empty ) set ) ) ) _or_greater ) Prime) ) : ( ( ) ( non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital ) doubleLoopStr ) : ( ( ) ( non empty non trivial ) set ) :] : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ;
.redefine func F . (
Q,
R)
-> ( ( ) ( )
Element of
EC_SetProjCo (
(z : ( ( ) ( ) set ) `1) : ( ( ) ( )
Element of ( ( ) ( )
set ) ) ,
(z : ( ( ) ( ) set ) `2) : ( ( ) ( )
Element of ( ( ) ( )
set ) ) ,
p : ( ( non
trivial ) ( non
trivial )
set ) ) : ( ( non
empty ) ( non
empty )
Element of
bool (ProjCo (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) ) : ( ( non
empty ) ( non
empty )
Element of
bool [: the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) , the carrier of (GF p : ( ( non trivial ) ( non trivial ) set ) ) : ( ( ) ( ) doubleLoopStr ) : ( ( ) ( ) set ) :] : ( ( ) ( )
set ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) ) ;
end;