begin
registration
let I be ( ( ) ( )
set ) ;
end;
definition
let I be ( ( ) ( )
set ) ;
let A,
B be ( (
Relation-like I : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like I : ( ( ) ( )
set )
-defined Function-like total )
ManySortedSet of
I : ( ( ) ( )
set ) ) ;
mode ManySortedRelation of
A,
B -> ( (
Relation-like I : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like I : ( ( ) ( )
set )
-defined Function-like total )
ManySortedSet of
I : ( ( ) ( )
set ) )
means
for
i being ( ( ) ( )
set ) st
i : ( ( ) ( )
set )
in I : ( ( ) ( )
set ) holds
it : ( (
Function-like V29(
A : ( ( ) ( )
MSAlgebra over
I : ( ( ) ( )
set ) ) ,
I : ( ( ) ( )
set ) ) ) (
Relation-like A : ( ( ) ( )
MSAlgebra over
I : ( ( ) ( )
set ) )
-defined I : ( ( ) ( )
set )
-valued Function-like V29(
A : ( ( ) ( )
MSAlgebra over
I : ( ( ) ( )
set ) ) ,
I : ( ( ) ( )
set ) ) )
Element of
K10(
K11(
A : ( ( ) ( )
MSAlgebra over
I : ( ( ) ( )
set ) ) ,
I : ( ( ) ( )
set ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) )
. i : ( ( ) ( )
set ) : ( ( ) ( )
set ) is ( ( ) (
Relation-like A : ( ( ) ( )
MSAlgebra over
I : ( ( ) ( )
set ) )
. b1 : ( ( ) ( )
set ) : ( ( ) ( )
set )
-defined B : ( ( ) (
Relation-like the
carrier' of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Arity of
I : ( ( ) ( )
set ) : ( (
Function-like V29( the
carrier' of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) , the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) )) ) ) (
Relation-like the
carrier' of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
-defined the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) ))
-valued Function-like V29( the
carrier' of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) , the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) )) )
Function-yielding Relation-yielding )
Element of
K10(
K11( the
carrier' of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) ,
( the carrier of I : ( ( ) ( ) set ) : ( ( ) ( ) set ) *) : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) )) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) )
* (A : ( ( ) ( ) MSAlgebra over I : ( ( ) ( ) set ) ) #) : ( (
Relation-like the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) ))
-defined Function-like total ) ( non
empty Relation-like the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) ))
-defined Function-like total )
set ) : ( (
Relation-like ) (
Relation-like the
carrier' of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
-defined Function-like total )
set ) , the
ResultSort of
I : ( ( ) ( )
set ) : ( (
Function-like V29( the
carrier' of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) , the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) ) ) (
Relation-like the
carrier' of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
-defined the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
-valued Function-like V29( the
carrier' of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) , the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) ) )
Element of
K10(
K11( the
carrier' of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) , the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) )
* A : ( ( ) ( )
MSAlgebra over
I : ( ( ) ( )
set ) ) : ( (
Relation-like ) (
Relation-like )
set ) )
. b1 : ( ( ) ( )
set ) : ( ( ) (
Relation-like Function-like )
set )
-valued )
Relation of ,) ;
end;
definition
let I be ( ( non
empty ) ( non
empty )
set ) ;
let A,
B be ( (
Relation-like I : ( ( non
empty ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like I : ( ( non
empty ) ( non
empty )
set )
-defined Function-like total )
ManySortedSet of
I : ( ( non
empty ) ( non
empty )
set ) ) ;
let F be ( ( ) ( non
empty Relation-like I : ( ( non
empty ) ( non
empty )
set )
-defined Function-like total Relation-yielding )
ManySortedRelation of
A : ( (
Relation-like I : ( ( non
empty ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like I : ( ( non
empty ) ( non
empty )
set )
-defined Function-like total )
ManySortedSet of
I : ( ( non
empty ) ( non
empty )
set ) ) ,
B : ( (
Relation-like I : ( ( non
empty ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like I : ( ( non
empty ) ( non
empty )
set )
-defined Function-like total )
ManySortedSet of
I : ( ( non
empty ) ( non
empty )
set ) ) ) ;
let i be ( ( ) ( )
Element of
I : ( ( non
empty ) ( non
empty )
set ) ) ;
.redefine func F . i -> ( ( ) (
Relation-like A : ( ( non
empty ) ( non
empty )
set )
. i : ( ( ) ( non
empty Relation-like the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Sorts of
A : ( ( non
empty ) ( non
empty )
set ) : ( (
Relation-like the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
-defined Function-like total )
set ) , the
Sorts of
B : ( ( ) (
Relation-like the
carrier' of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Arity of
I : ( ( ) ( )
set ) : ( (
Function-like V29( the
carrier' of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) , the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) )) ) ) (
Relation-like the
carrier' of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
-defined the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) ))
-valued Function-like V29( the
carrier' of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) , the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) )) )
Function-yielding Relation-yielding )
Element of
K10(
K11( the
carrier' of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) ,
( the carrier of I : ( ( ) ( ) set ) : ( ( ) ( ) set ) *) : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) )) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) )
* (A : ( ( non empty ) ( non empty ) set ) #) : ( (
Relation-like the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) ))
-defined Function-like total ) ( non
empty Relation-like the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) ))
-defined Function-like total )
set ) : ( (
Relation-like ) (
Relation-like the
carrier' of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
-defined Function-like total )
set ) , the
ResultSort of
I : ( ( ) ( )
set ) : ( (
Function-like V29( the
carrier' of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) , the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) ) ) (
Relation-like the
carrier' of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
-defined the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
-valued Function-like V29( the
carrier' of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) , the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) ) )
Element of
K10(
K11( the
carrier' of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) , the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) )
* A : ( ( non
empty ) ( non
empty )
set ) : ( (
Relation-like ) (
Relation-like )
set ) ) : ( (
Relation-like the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
-defined Function-like total )
set ) ) : ( ( ) ( )
set )
-defined B : ( ( ) (
Relation-like the
carrier' of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Arity of
I : ( ( ) ( )
set ) : ( (
Function-like V29( the
carrier' of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) , the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) )) ) ) (
Relation-like the
carrier' of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
-defined the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) ))
-valued Function-like V29( the
carrier' of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) , the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) )) )
Function-yielding Relation-yielding )
Element of
K10(
K11( the
carrier' of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) ,
( the carrier of I : ( ( ) ( ) set ) : ( ( ) ( ) set ) *) : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) )) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) )
* (A : ( ( non empty ) ( non empty ) set ) #) : ( (
Relation-like the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) ))
-defined Function-like total ) ( non
empty Relation-like the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) ))
-defined Function-like total )
set ) : ( (
Relation-like ) (
Relation-like the
carrier' of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
-defined Function-like total )
set ) , the
ResultSort of
I : ( ( ) ( )
set ) : ( (
Function-like V29( the
carrier' of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) , the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) ) ) (
Relation-like the
carrier' of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
-defined the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
-valued Function-like V29( the
carrier' of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) , the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) ) )
Element of
K10(
K11( the
carrier' of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) , the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) )
* A : ( ( non
empty ) ( non
empty )
set ) : ( (
Relation-like ) (
Relation-like )
set ) )
. i : ( ( ) ( non
empty Relation-like the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Sorts of
A : ( ( non
empty ) ( non
empty )
set ) : ( (
Relation-like the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
-defined Function-like total )
set ) , the
Sorts of
B : ( ( ) (
Relation-like the
carrier' of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Arity of
I : ( ( ) ( )
set ) : ( (
Function-like V29( the
carrier' of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) , the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) )) ) ) (
Relation-like the
carrier' of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
-defined the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) ))
-valued Function-like V29( the
carrier' of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) , the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) )) )
Function-yielding Relation-yielding )
Element of
K10(
K11( the
carrier' of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) ,
( the carrier of I : ( ( ) ( ) set ) : ( ( ) ( ) set ) *) : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) )) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) )
* (A : ( ( non empty ) ( non empty ) set ) #) : ( (
Relation-like the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) ))
-defined Function-like total ) ( non
empty Relation-like the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) ))
-defined Function-like total )
set ) : ( (
Relation-like ) (
Relation-like the
carrier' of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
-defined Function-like total )
set ) , the
ResultSort of
I : ( ( ) ( )
set ) : ( (
Function-like V29( the
carrier' of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) , the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) ) ) (
Relation-like the
carrier' of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
-defined the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
-valued Function-like V29( the
carrier' of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) , the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) ) )
Element of
K10(
K11( the
carrier' of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) , the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) )
* A : ( ( non
empty ) ( non
empty )
set ) : ( (
Relation-like ) (
Relation-like )
set ) ) : ( (
Relation-like the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like the
carrier of
I : ( ( ) ( )
set ) : ( ( ) ( )
set )
-defined Function-like total )
set ) ) : ( ( ) (
Relation-like Function-like )
set )
-valued )
Relation of ,) ;
end;
definition
let S be ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ;
let U1 be ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ;
let R be ( (
MSEquivalence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like )
ManySortedRelation of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) ;
attr R is
MSCongruence-like means
for
o being ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) )
for
x,
y being ( ( ) (
Relation-like Function-like )
Element of
Args (
o : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) ,
U1 : ( ( ) ( )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) : ( ( ) ( )
Element of
rng ( the Sorts of U1 : ( ( ) ( ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total )
set ) : ( ( ) ( non
empty )
set ) ) ) st ( for
n being ( (
V41() ) (
V41() )
Nat) st
n : ( (
V41() ) (
V41() )
Nat)
in dom x : ( ( ) (
Relation-like Function-like )
Element of
Args (
b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) ,
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) : ( ( ) ( non
empty functional )
Element of
rng ( the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total )
set ) : ( ( ) ( non
empty V4() )
set ) ) ) : ( ( ) ( )
set ) holds
[(x : ( ( ) ( Relation-like Function-like ) Element of Args (b1 : ( ( ) ( ) OperSymbol of ( ( ) ( non empty ) set ) ) ,U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) ( non empty functional ) Element of rng ( the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) : ( ( ) ( non empty V4() ) set ) ) ) . n : ( ( V41() ) ( V41() ) Nat) ) : ( ( ) ( ) set ) ,(y : ( ( ) ( Relation-like Function-like ) Element of Args (b1 : ( ( ) ( ) OperSymbol of ( ( ) ( non empty ) set ) ) ,U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) ( non empty functional ) Element of rng ( the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) : ( ( ) ( non empty V4() ) set ) ) ) . n : ( ( V41() ) ( V41() ) Nat) ) : ( ( ) ( ) set ) ] : ( ( ) ( )
set )
in R : ( ( ) ( non
empty Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Arity of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( (
Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) ) ) (
Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-valued Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) )
Function-yielding Relation-yielding )
Element of
K10(
K11( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ,
( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) )
* (U1 : ( ( ) ( ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) #) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total )
set ) : ( (
Relation-like ) ( non
empty Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
ResultSort of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( (
Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) ) (
Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-valued Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) )
Element of
K10(
K11( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) )
* U1 : ( ( ) ( )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like ) (
Relation-like )
set ) )
. ((the_arity_of o : ( ( ) ( ) OperSymbol of ( ( ) ( non empty ) set ) ) ) : ( ( ) ( Relation-like K170() : ( ( ) ( V42() countable denumerable ) Element of K10(K166() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V42() countable FinSequence-like FinSubsequence-like ) Element of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) /. n : ( ( V41() ) ( V41() ) Nat) ) : ( ( ) ( )
Element of the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) : ( ( ) (
Relation-like the
Sorts of
U1 : ( ( ) ( )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. ((the_arity_of b1 : ( ( ) ( ) OperSymbol of ( ( ) ( non empty ) set ) ) ) : ( ( ) ( Relation-like K170() : ( ( ) ( V42() countable denumerable ) Element of K10(K166() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V42() countable FinSequence-like FinSubsequence-like ) Element of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) /. b4 : ( ( V41() ) ( V41() ) Nat) ) : ( ( ) ( )
Element of the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set )
-defined the
Sorts of
U1 : ( ( ) ( )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. ((the_arity_of b1 : ( ( ) ( ) OperSymbol of ( ( ) ( non empty ) set ) ) ) : ( ( ) ( Relation-like K170() : ( ( ) ( V42() countable denumerable ) Element of K10(K166() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V42() countable FinSequence-like FinSubsequence-like ) Element of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) /. b4 : ( ( V41() ) ( V41() ) Nat) ) : ( ( ) ( )
Element of the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set )
-valued Function-like )
Relation of ,) ) holds
[((Den (o : ( ( ) ( ) OperSymbol of ( ( ) ( non empty ) set ) ) ,U1 : ( ( ) ( ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) )) : ( ( Function-like V29( Args (b1 : ( ( ) ( ) OperSymbol of ( ( ) ( non empty ) set ) ) ,U1 : ( ( ) ( ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) ( ) Element of rng ( the Sorts of U1 : ( ( ) ( ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) : ( ( ) ( non empty ) set ) ) , Result (b1 : ( ( ) ( ) OperSymbol of ( ( ) ( non empty ) set ) ) ,U1 : ( ( ) ( ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) ( ) Element of rng the Sorts of U1 : ( ( ) ( ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) : ( ( ) ( non empty ) set ) ) ) ) ( Relation-like Args (b1 : ( ( ) ( ) OperSymbol of ( ( ) ( non empty ) set ) ) ,U1 : ( ( ) ( ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) ( ) Element of rng ( the Sorts of U1 : ( ( ) ( ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) : ( ( ) ( non empty ) set ) ) -defined Result (b1 : ( ( ) ( ) OperSymbol of ( ( ) ( non empty ) set ) ) ,U1 : ( ( ) ( ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) ( ) Element of rng the Sorts of U1 : ( ( ) ( ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) : ( ( ) ( non empty ) set ) ) -valued Function-like V29( Args (b1 : ( ( ) ( ) OperSymbol of ( ( ) ( non empty ) set ) ) ,U1 : ( ( ) ( ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) ( ) Element of rng ( the Sorts of U1 : ( ( ) ( ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) : ( ( ) ( non empty ) set ) ) , Result (b1 : ( ( ) ( ) OperSymbol of ( ( ) ( non empty ) set ) ) ,U1 : ( ( ) ( ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) ( ) Element of rng the Sorts of U1 : ( ( ) ( ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) : ( ( ) ( non empty ) set ) ) ) ) Element of K10(K11((Args (b1 : ( ( ) ( ) OperSymbol of ( ( ) ( non empty ) set ) ) ,U1 : ( ( ) ( ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) )) : ( ( ) ( ) Element of rng ( the Sorts of U1 : ( ( ) ( ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) : ( ( ) ( non empty ) set ) ) ,(Result (b1 : ( ( ) ( ) OperSymbol of ( ( ) ( non empty ) set ) ) ,U1 : ( ( ) ( ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) )) : ( ( ) ( ) Element of rng the Sorts of U1 : ( ( ) ( ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) . x : ( ( ) ( Relation-like Function-like ) Element of Args (b1 : ( ( ) ( ) OperSymbol of ( ( ) ( non empty ) set ) ) ,U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) ( non empty functional ) Element of rng ( the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) : ( ( ) ( non empty V4() ) set ) ) ) ) : ( ( ) ( ) Element of Result (b1 : ( ( ) ( ) OperSymbol of ( ( ) ( non empty ) set ) ) ,U1 : ( ( ) ( ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) ( ) Element of rng the Sorts of U1 : ( ( ) ( ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) : ( ( ) ( non empty ) set ) ) ) ,((Den (o : ( ( ) ( ) OperSymbol of ( ( ) ( non empty ) set ) ) ,U1 : ( ( ) ( ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) )) : ( ( Function-like V29( Args (b1 : ( ( ) ( ) OperSymbol of ( ( ) ( non empty ) set ) ) ,U1 : ( ( ) ( ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) ( ) Element of rng ( the Sorts of U1 : ( ( ) ( ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) : ( ( ) ( non empty ) set ) ) , Result (b1 : ( ( ) ( ) OperSymbol of ( ( ) ( non empty ) set ) ) ,U1 : ( ( ) ( ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) ( ) Element of rng the Sorts of U1 : ( ( ) ( ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) : ( ( ) ( non empty ) set ) ) ) ) ( Relation-like Args (b1 : ( ( ) ( ) OperSymbol of ( ( ) ( non empty ) set ) ) ,U1 : ( ( ) ( ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) ( ) Element of rng ( the Sorts of U1 : ( ( ) ( ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) : ( ( ) ( non empty ) set ) ) -defined Result (b1 : ( ( ) ( ) OperSymbol of ( ( ) ( non empty ) set ) ) ,U1 : ( ( ) ( ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) ( ) Element of rng the Sorts of U1 : ( ( ) ( ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) : ( ( ) ( non empty ) set ) ) -valued Function-like V29( Args (b1 : ( ( ) ( ) OperSymbol of ( ( ) ( non empty ) set ) ) ,U1 : ( ( ) ( ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) ( ) Element of rng ( the Sorts of U1 : ( ( ) ( ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) : ( ( ) ( non empty ) set ) ) , Result (b1 : ( ( ) ( ) OperSymbol of ( ( ) ( non empty ) set ) ) ,U1 : ( ( ) ( ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) ( ) Element of rng the Sorts of U1 : ( ( ) ( ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) : ( ( ) ( non empty ) set ) ) ) ) Element of K10(K11((Args (b1 : ( ( ) ( ) OperSymbol of ( ( ) ( non empty ) set ) ) ,U1 : ( ( ) ( ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) )) : ( ( ) ( ) Element of rng ( the Sorts of U1 : ( ( ) ( ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) : ( ( ) ( non empty ) set ) ) ,(Result (b1 : ( ( ) ( ) OperSymbol of ( ( ) ( non empty ) set ) ) ,U1 : ( ( ) ( ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) )) : ( ( ) ( ) Element of rng the Sorts of U1 : ( ( ) ( ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) . y : ( ( ) ( Relation-like Function-like ) Element of Args (b1 : ( ( ) ( ) OperSymbol of ( ( ) ( non empty ) set ) ) ,U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) ( non empty functional ) Element of rng ( the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) : ( ( ) ( non empty V4() ) set ) ) ) ) : ( ( ) ( ) Element of Result (b1 : ( ( ) ( ) OperSymbol of ( ( ) ( non empty ) set ) ) ,U1 : ( ( ) ( ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) ( ) Element of rng the Sorts of U1 : ( ( ) ( ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) : ( ( ) ( non empty ) set ) ) ) ] : ( ( ) ( )
set )
in R : ( ( ) ( non
empty Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Arity of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( (
Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) ) ) (
Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-valued Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) )
Function-yielding Relation-yielding )
Element of
K10(
K11( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ,
( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) )
* (U1 : ( ( ) ( ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) #) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total )
set ) : ( (
Relation-like ) ( non
empty Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
ResultSort of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( (
Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) ) (
Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-valued Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) )
Element of
K10(
K11( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) )
* U1 : ( ( ) ( )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like ) (
Relation-like )
set ) )
. (the_result_sort_of o : ( ( ) ( ) OperSymbol of ( ( ) ( non empty ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) : ( ( ) (
Relation-like the
Sorts of
U1 : ( ( ) ( )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. (the_result_sort_of b1 : ( ( ) ( ) OperSymbol of ( ( ) ( non empty ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set )
-defined the
Sorts of
U1 : ( ( ) ( )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. (the_result_sort_of b1 : ( ( ) ( ) OperSymbol of ( ( ) ( non empty ) set ) ) ) : ( ( ) ( )
Element of the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set )
-valued Function-like )
Relation of ,) ;
end;
definition
let S be ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ;
let U1 be ( ( ) ( )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ;
let R be ( (
MSEquivalence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like )
ManySortedRelation of
U1 : ( ( ) ( )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) ;
let i be ( ( ) ( )
Element of ( ( ) ( non
empty )
set ) ) ;
let x be ( ( ) ( )
Element of the
Sorts of
U1 : ( ( ) ( )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. i : ( ( ) ( )
Element of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ) ;
func Class (
R,
x)
-> ( ( ) ( )
Subset of ( ( ) ( )
set ) )
equals
Class (
(R : ( ( ) ( non empty Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Function-yielding Relation-yielding ) ManySortedFunction of the Arity of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) Function-yielding Relation-yielding ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * (U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) : ( ( Relation-like ) ( non empty Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) ) . i : ( ( Function-like V29(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
V14()
V19()
total ) (
Relation-like the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. i : ( (
Function-like V29(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) (
Relation-like U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) )
-defined S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-valued Function-like V29(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) )
Element of
K10(
K11(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) ) : ( ( ) ( )
set )
-defined the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. i : ( (
Function-like V29(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) (
Relation-like U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) )
-defined S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-valued Function-like V29(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) )
Element of
K10(
K11(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) ) : ( ( ) ( )
set )
-valued V12()
V14()
V19()
Function-like total )
Equivalence_Relation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. i : ( (
Function-like V29(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) (
Relation-like U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) )
-defined S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-valued Function-like V29(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) )
Element of
K10(
K11(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) ) ,
x : ( ( ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
R : ( ( ) ( non
empty Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Arity of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( (
Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) ) ) (
Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-valued Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) )
Function-yielding Relation-yielding )
Element of
K10(
K11( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ,
( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) )
* (U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) #) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total )
set ) : ( (
Relation-like ) ( non
empty Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
ResultSort of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( (
Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) ) (
Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-valued Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) )
Element of
K10(
K11( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) )
* U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like ) (
Relation-like )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) ) : ( ( ) ( )
Element of
K10(
( the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) . i : ( ( Function-like V29(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) ) ;
end;
definition
let S be ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ;
let U1 be ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ;
let R be ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
MSCongruence of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) ;
func Class R -> ( (
Relation-like V8() the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like V8() non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
ManySortedSet of the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )
means
for
s being ( ( ) ( )
Element of ( ( ) ( non
empty )
set ) ) holds
it : ( (
Function-like V29(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) (
Relation-like U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) )
-defined S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-valued Function-like V29(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) )
Element of
K10(
K11(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) )
. s : ( ( ) ( )
Element of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set )
= Class (R : ( ( ) ( non empty Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Function-yielding Relation-yielding ) ManySortedFunction of the Arity of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) Function-yielding Relation-yielding ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * (U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) : ( ( Relation-like ) ( non empty Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) * U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like ) ( Relation-like ) set ) ) . s : ( ( ) ( ) Element of ( ( ) ( non empty ) set ) ) ) : ( (
V14()
V19()
total ) (
Relation-like the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
Element of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set )
-defined the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
Element of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set )
-valued V12()
V14()
V19()
Function-like total )
Equivalence_Relation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
Element of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ) : ( ( ) ( )
a_partition of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
Element of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ) ;
end;
begin
definition
let S be ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ;
let M1,
M2 be ( (
Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
ManySortedSet of the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) ;
let F be ( ( ) ( non
empty Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of
M1 : ( (
Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
ManySortedSet of the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) ,
M2 : ( (
Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
ManySortedSet of the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) ) ;
let o be ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) ;
.redefine func F . o -> ( (
Function-like V29(
M1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) )
. o : ( ( ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Sorts of
M1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
M2 : ( ( ) ( non
empty Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Arity of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( (
Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) ) ) (
Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-valued Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) )
Function-yielding Relation-yielding )
Element of
K10(
K11( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ,
( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) )
* (M1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) #) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total )
set ) : ( (
Relation-like ) ( non
empty Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
ResultSort of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( (
Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) ) (
Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-valued Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) )
Element of
K10(
K11( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) )
* M1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like ) (
Relation-like )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( ( ) ( )
set ) ,
M2 : ( ( ) ( non
empty Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Arity of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( (
Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) ) ) (
Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-valued Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) )
Function-yielding Relation-yielding )
Element of
K10(
K11( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ,
( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) )
* (M1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) #) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total )
set ) : ( (
Relation-like ) ( non
empty Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
ResultSort of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( (
Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) ) (
Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-valued Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) )
Element of
K10(
K11( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) )
* M1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like ) (
Relation-like )
set ) )
. o : ( ( ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
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ManySortedSign ) : ( ( ) ( non
empty )
set )
-valued Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) )
Element of
K10(
K11( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) )
* M1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like ) (
Relation-like )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( ( ) (
Relation-like Function-like )
set ) ) )
Function of
M1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) )
. o : ( ( ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Sorts of
M1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
M2 : ( ( ) ( non
empty Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Arity of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( (
Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) ) ) (
Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-valued Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) )
Function-yielding Relation-yielding )
Element of
K10(
K11( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ,
( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) )
* (M1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) #) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total )
set ) : ( (
Relation-like ) ( non
empty Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
ResultSort of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( (
Function-like V29( the
carrier' of
S : ( ( non
empty non
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empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) ) (
Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-valued Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) )
Element of
K10(
K11( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) )
* M1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like ) (
Relation-like )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( ( ) ( )
set ) ,
M2 : ( ( ) ( non
empty Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Arity of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( (
Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) ) ) (
Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-valued Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) )
Function-yielding Relation-yielding )
Element of
K10(
K11( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ,
( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) )
* (M1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) #) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total )
set ) : ( (
Relation-like ) ( non
empty Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
ResultSort of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( (
Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) ) (
Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-valued Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) )
Element of
K10(
K11( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) )
* M1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like ) (
Relation-like )
set ) )
. o : ( ( ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Sorts of
M1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
M2 : ( ( ) ( non
empty Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Arity of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( (
Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) ) ) (
Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-valued Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) )
Function-yielding Relation-yielding )
Element of
K10(
K11( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ,
( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) )
* (M1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) #) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total )
set ) : ( (
Relation-like ) ( non
empty Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
ResultSort of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( (
Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) ) (
Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-valued Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) )
Element of
K10(
K11( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) )
* M1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like ) (
Relation-like )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( ( ) (
Relation-like Function-like )
set ) ) ;
end;
definition
let S be ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ;
let o be ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) ;
let A be ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ;
let R be ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
MSCongruence of
A : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) ;
let x be ( ( ) (
Relation-like Function-like )
Element of
Args (
o : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) ,
A : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) : ( ( ) ( non
empty functional )
Element of
rng ( the Sorts of A : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total )
set ) : ( ( ) ( non
empty V4() )
set ) ) ) ;
func R # x -> ( ( ) (
Relation-like K170() : ( ( ) (
V42()
countable denumerable )
Element of
K10(
K166() : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) )
-defined Function-like (Class R : ( ( Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like V8() the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like V8() non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
ManySortedSet of the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )
* (the_arity_of o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) (
Relation-like K170() : ( ( ) (
V42()
countable denumerable )
Element of
K10(
K166() : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) )
-defined the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-valued Function-like V42()
countable FinSequence-like FinSubsequence-like )
Element of the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) ) : ( (
Relation-like ) (
Relation-like non-empty K170() : ( ( ) (
V42()
countable denumerable )
Element of
K10(
K166() : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) )
-defined dom (the_arity_of o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) (
Relation-like K170() : ( ( ) (
V42()
countable denumerable )
Element of
K10(
K166() : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) )
-defined the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-valued Function-like V42()
countable FinSequence-like FinSubsequence-like )
Element of the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) ) : ( ( ) (
countable )
Element of
K10(
K170() : ( ( ) (
V42()
countable denumerable )
Element of
K10(
K166() : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) ) ) : ( ( ) ( )
set ) )
-defined Function-like total )
set )
-compatible )
Element of
product ((Class R : ( ( Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) * (the_arity_of o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) ( Relation-like K170() : ( ( ) ( V42() countable denumerable ) Element of K10(K166() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V42() countable FinSequence-like FinSubsequence-like ) Element of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) : ( (
Relation-like ) (
Relation-like non-empty K170() : ( ( ) (
V42()
countable denumerable )
Element of
K10(
K166() : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) )
-defined dom (the_arity_of o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) (
Relation-like K170() : ( ( ) (
V42()
countable denumerable )
Element of
K10(
K166() : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) )
-defined the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-valued Function-like V42()
countable FinSequence-like FinSubsequence-like )
Element of the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) ) : ( ( ) (
countable )
Element of
K10(
K170() : ( ( ) (
V42()
countable denumerable )
Element of
K10(
K166() : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) ) ) : ( ( ) ( )
set ) )
-defined Function-like total )
set ) : ( ( ) ( non
empty functional with_common_domain product-like )
set ) )
means
for
n being ( (
V41() ) (
V41() )
Nat) st
n : ( (
V41() ) (
V41() )
Nat)
in dom (the_arity_of o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) (
Relation-like K170() : ( ( ) (
V42()
countable denumerable )
Element of
K10(
K166() : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) )
-defined the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-valued Function-like V42()
countable FinSequence-like FinSubsequence-like )
Element of the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) ) : ( ( ) (
countable )
Element of
K10(
K170() : ( ( ) (
V42()
countable denumerable )
Element of
K10(
K166() : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) ) ) : ( ( ) ( )
set ) ) holds
it : ( ( ) (
Relation-like Function-like )
Element of
Args (
R : ( (
Function-like V29(
o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) (
Relation-like o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) )
-defined S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-valued Function-like V29(
o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) )
Element of
K10(
K11(
o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) ) ,
o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) : ( ( ) ( non
empty )
Element of
rng ( the Sorts of o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total )
set ) : ( ( ) ( non
empty V4() )
set ) ) )
. n : ( (
V41() ) (
V41() )
Nat) : ( ( ) ( )
set )
= Class (
(R : ( ( Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) . ((the_arity_of o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) ( Relation-like K170() : ( ( ) ( V42() countable denumerable ) Element of K10(K166() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V42() countable FinSequence-like FinSubsequence-like ) Element of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) /. n : ( ( V41() ) ( V41() ) Nat) ) : ( ( ) ( ) Element of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) : ( (
V14()
V19()
total ) (
Relation-like the
Sorts of
A : ( (
Relation-like S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-defined Function-like total ) ( non
empty Relation-like S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-defined Function-like total )
set ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. ((the_arity_of o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) ( Relation-like K170() : ( ( ) ( V42() countable denumerable ) Element of K10(K166() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V42() countable FinSequence-like FinSubsequence-like ) Element of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) /. b1 : ( ( V41() ) ( V41() ) Nat) ) : ( ( ) ( )
Element of the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set )
-defined the
Sorts of
A : ( (
Relation-like S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-defined Function-like total ) ( non
empty Relation-like S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-defined Function-like total )
set ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. ((the_arity_of o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) ( Relation-like K170() : ( ( ) ( V42() countable denumerable ) Element of K10(K166() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V42() countable FinSequence-like FinSubsequence-like ) Element of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) /. b1 : ( ( V41() ) ( V41() ) Nat) ) : ( ( ) ( )
Element of the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set )
-valued V12()
V14()
V19()
total )
Equivalence_Relation of the
Sorts of
A : ( (
Relation-like S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-defined Function-like total ) ( non
empty Relation-like S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-defined Function-like total )
set ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. ((the_arity_of o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) ( Relation-like K170() : ( ( ) ( V42() countable denumerable ) Element of K10(K166() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V42() countable FinSequence-like FinSubsequence-like ) Element of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) /. b1 : ( ( V41() ) ( V41() ) Nat) ) : ( ( ) ( )
Element of the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ) ,
(x : ( ( ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Function-yielding Relation-yielding ) ManySortedFunction of the Sorts of o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of A : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) . n : ( ( V41() ) ( V41() ) Nat) ) : ( ( ) (
Relation-like Function-like )
set ) ) : ( ( ) ( )
Element of
K10(
( the Sorts of A : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) . ((the_arity_of o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) ( Relation-like K170() : ( ( ) ( V42() countable denumerable ) Element of K10(K166() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V42() countable FinSequence-like FinSubsequence-like ) Element of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) /. b1 : ( ( V41() ) ( V41() ) Nat) ) : ( ( ) ( ) Element of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) ) ;
end;
definition
let S be ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ;
let o be ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) ;
let A be ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ;
let R be ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
MSCongruence of
A : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) ;
func QuotRes (
R,
o)
-> ( (
Function-like V29(
( the Sorts of A : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) ( )
set ) ,
((Class R : ( ( Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) ( )
set ) ) ) (
Relation-like ( the Sorts of A : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) ( )
set )
-defined ((Class R : ( ( Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) ( )
set )
-valued Function-like V29(
( the Sorts of A : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) ( )
set ) ,
((Class R : ( ( Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) ( )
set ) ) )
Function of
( the Sorts of A : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) ( )
set ) ,
((Class R : ( ( Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) ( )
set ) )
means
for
x being ( ( ) ( )
Element of the
Sorts of
A : ( (
Relation-like S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-defined Function-like total ) ( non
empty Relation-like S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-defined Function-like total )
set ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. (the_result_sort_of o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) ( )
Element of the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ) holds
it : ( ( ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Sorts of
o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
A : ( (
Relation-like S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-defined Function-like total ) ( non
empty Relation-like S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-defined Function-like total )
set ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) )
. x : ( ( ) (
Relation-like Function-like )
Element of
Args (
o : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) ,
A : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) : ( ( ) ( non
empty functional )
Element of
rng ( the Sorts of A : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total )
set ) : ( ( ) ( non
empty V4() )
set ) ) ) : ( ( ) (
Relation-like Function-like )
set )
= Class (
R : ( (
Function-like V29(
o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) (
Relation-like o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) )
-defined S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-valued Function-like V29(
o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) )
Element of
K10(
K11(
o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) ) ,
x : ( ( ) (
Relation-like Function-like )
Element of
Args (
o : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) ,
A : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) : ( ( ) ( non
empty functional )
Element of
rng ( the Sorts of A : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total )
set ) : ( ( ) ( non
empty V4() )
set ) ) ) ) : ( ( ) ( )
Subset of ( ( ) ( )
set ) ) ;
func QuotArgs (
R,
o)
-> ( (
Function-like V29(
(( the Sorts of A : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) * the Arity of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) Function-yielding Relation-yielding ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) ( )
set ) ,
(((Class R : ( ( Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) * the Arity of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) Function-yielding Relation-yielding ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) ( )
set ) ) ) (
Relation-like (( the Sorts of A : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) * the Arity of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) Function-yielding Relation-yielding ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) ( )
set )
-defined (((Class R : ( ( Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) * the Arity of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) Function-yielding Relation-yielding ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) ( )
set )
-valued Function-like V29(
(( the Sorts of A : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) * the Arity of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) Function-yielding Relation-yielding ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) ( )
set ) ,
(((Class R : ( ( Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) * the Arity of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) Function-yielding Relation-yielding ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) ( )
set ) ) )
Function of
(( the Sorts of A : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) * the Arity of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) Function-yielding Relation-yielding ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) ( )
set ) ,
(((Class R : ( ( Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) * the Arity of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) Function-yielding Relation-yielding ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) ( )
set ) )
means
for
x being ( ( ) (
Relation-like Function-like )
Element of
Args (
o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
A : ( (
Relation-like S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-defined Function-like total ) ( non
empty Relation-like S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-defined Function-like total )
set ) ) : ( ( ) ( )
Element of
rng ( the Sorts of A : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total )
set ) : ( ( ) ( non
empty )
set ) ) ) holds
it : ( ( ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Sorts of
o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
A : ( (
Relation-like S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-defined Function-like total ) ( non
empty Relation-like S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-defined Function-like total )
set ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) )
. x : ( ( ) (
Relation-like Function-like )
Element of
Args (
o : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) ,
A : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) : ( ( ) ( non
empty functional )
Element of
rng ( the Sorts of A : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total )
set ) : ( ( ) ( non
empty V4() )
set ) ) ) : ( ( ) (
Relation-like Function-like )
set )
= R : ( (
Function-like V29(
o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) (
Relation-like o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) )
-defined S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-valued Function-like V29(
o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) )
Element of
K10(
K11(
o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) )
# x : ( ( ) (
Relation-like Function-like )
Element of
Args (
o : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) ,
A : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) : ( ( ) ( non
empty functional )
Element of
rng ( the Sorts of A : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total )
set ) : ( ( ) ( non
empty V4() )
set ) ) ) : ( ( ) (
Relation-like K170() : ( ( ) (
V42()
countable denumerable )
Element of
K10(
K166() : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) )
-defined Function-like (Class R : ( ( Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like V8() the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like V8() non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
ManySortedSet of the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )
* (the_arity_of o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) (
Relation-like K170() : ( ( ) (
V42()
countable denumerable )
Element of
K10(
K166() : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) )
-defined the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-valued Function-like V42()
countable FinSequence-like FinSubsequence-like )
Element of the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) ) : ( (
Relation-like ) (
Relation-like non-empty K170() : ( ( ) (
V42()
countable denumerable )
Element of
K10(
K166() : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) )
-defined dom (the_arity_of o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) (
Relation-like K170() : ( ( ) (
V42()
countable denumerable )
Element of
K10(
K166() : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) )
-defined the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-valued Function-like V42()
countable FinSequence-like FinSubsequence-like )
Element of the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) ) : ( ( ) (
countable )
Element of
K10(
K170() : ( ( ) (
V42()
countable denumerable )
Element of
K10(
K166() : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) ) ) : ( ( ) ( )
set ) )
-defined Function-like total )
set )
-compatible )
Element of
product ((Class R : ( ( Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) * (the_arity_of o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) ( Relation-like K170() : ( ( ) ( V42() countable denumerable ) Element of K10(K166() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V42() countable FinSequence-like FinSubsequence-like ) Element of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) : ( (
Relation-like ) (
Relation-like non-empty K170() : ( ( ) (
V42()
countable denumerable )
Element of
K10(
K166() : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) )
-defined dom (the_arity_of o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) (
Relation-like K170() : ( ( ) (
V42()
countable denumerable )
Element of
K10(
K166() : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) )
-defined the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-valued Function-like V42()
countable FinSequence-like FinSubsequence-like )
Element of the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) ) : ( ( ) (
countable )
Element of
K10(
K170() : ( ( ) (
V42()
countable denumerable )
Element of
K10(
K166() : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) ) ) : ( ( ) ( )
set ) )
-defined Function-like total )
set ) : ( ( ) ( non
empty functional with_common_domain product-like )
set ) ) ;
end;
definition
let S be ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ;
let A be ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ;
let R be ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
MSCongruence of
A : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) ;
func QuotRes R -> ( ( ) ( non
empty Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Sorts of
A : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
* the
ResultSort of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( (
Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) ) (
Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-valued Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) )
Element of
K10(
K11( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ,
(Class R : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( (
Relation-like V8() the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like V8() non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
ManySortedSet of the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )
* the
ResultSort of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( (
Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) ) (
Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-valued Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) )
Element of
K10(
K11( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) )
means
for
o being ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) holds
it : ( (
Function-like V29(
A : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) (
Relation-like A : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) )
-defined S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-valued Function-like V29(
A : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) )
Element of
K10(
K11(
A : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) )
. o : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( (
Function-like V29(
( the Sorts of A : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ,
((Class R : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ) ) (
Relation-like ( the Sorts of A : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set )
-defined ((Class R : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set )
-valued Function-like V29(
( the Sorts of A : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ,
((Class R : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ) )
Function of
( the Sorts of A : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ,
((Class R : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) )
= QuotRes (
R : ( (
Relation-like S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-defined Function-like total ) ( non
empty Relation-like S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-defined Function-like total )
set ) ,
o : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) ) : ( (
Function-like V29(
( the Sorts of A : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ,
((Class R : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ) ) (
Relation-like ( the Sorts of A : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set )
-defined ((Class R : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set )
-valued Function-like V29(
( the Sorts of A : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ,
((Class R : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ) )
Function of
( the Sorts of A : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ,
((Class R : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ) ;
func QuotArgs R -> ( ( ) ( non
empty Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of
( the Sorts of A : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total )
set )
* the
Arity of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( (
Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) ) ) (
Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-valued Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) )
Function-yielding Relation-yielding )
Element of
K10(
K11( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ,
( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ,
((Class R : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) #) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total )
set )
* the
Arity of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( (
Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) ) ) (
Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-valued Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) )
Function-yielding Relation-yielding )
Element of
K10(
K11( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ,
( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) )
means
for
o being ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) holds
it : ( (
Function-like V29(
A : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) (
Relation-like A : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) )
-defined S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-valued Function-like V29(
A : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) )
Element of
K10(
K11(
A : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) )
. o : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( (
Function-like V29(
(( the Sorts of A : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) * the Arity of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) Function-yielding Relation-yielding ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ,
(((Class R : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) * the Arity of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) Function-yielding Relation-yielding ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ) ) (
Relation-like (( the Sorts of A : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) * the Arity of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) Function-yielding Relation-yielding ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set )
-defined (((Class R : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) * the Arity of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) Function-yielding Relation-yielding ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set )
-valued Function-like V29(
(( the Sorts of A : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) * the Arity of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) Function-yielding Relation-yielding ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ,
(((Class R : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) * the Arity of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) Function-yielding Relation-yielding ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ) )
Function of
(( the Sorts of A : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) * the Arity of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) Function-yielding Relation-yielding ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ,
(((Class R : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) * the Arity of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) Function-yielding Relation-yielding ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) )
= QuotArgs (
R : ( (
Relation-like S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-defined Function-like total ) ( non
empty Relation-like S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-defined Function-like total )
set ) ,
o : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) ) : ( (
Function-like V29(
(( the Sorts of A : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) * the Arity of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) Function-yielding Relation-yielding ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ,
(((Class R : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) * the Arity of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) Function-yielding Relation-yielding ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ) ) (
Relation-like (( the Sorts of A : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) * the Arity of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) Function-yielding Relation-yielding ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set )
-defined (((Class R : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) * the Arity of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) Function-yielding Relation-yielding ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set )
-valued Function-like V29(
(( the Sorts of A : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) * the Arity of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) Function-yielding Relation-yielding ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ,
(((Class R : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) * the Arity of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) Function-yielding Relation-yielding ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ) )
Function of
(( the Sorts of A : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) * the Arity of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) Function-yielding Relation-yielding ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ,
(((Class R : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) * the Arity of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) Function-yielding Relation-yielding ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ) ;
end;
definition
let S be ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ;
let o be ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) ;
let A be ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ;
let R be ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
MSCongruence of
A : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) ;
func QuotCharact (
R,
o)
-> ( (
Function-like V29(
(((Class R : ( ( Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) * the Arity of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) Function-yielding Relation-yielding ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) ( )
set ) ,
((Class R : ( ( Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) ( )
set ) ) ) (
Relation-like (((Class R : ( ( Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) * the Arity of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) Function-yielding Relation-yielding ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) ( )
set )
-defined ((Class R : ( ( Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) ( )
set )
-valued Function-like V29(
(((Class R : ( ( Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) * the Arity of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) Function-yielding Relation-yielding ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) ( )
set ) ,
((Class R : ( ( Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) ( )
set ) ) )
Function of
(((Class R : ( ( Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) * the Arity of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) Function-yielding Relation-yielding ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) ( )
set ) ,
((Class R : ( ( Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) ( )
set ) )
means
for
a being ( ( ) (
Relation-like Function-like )
Element of
Args (
o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
A : ( (
Relation-like S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-defined Function-like total ) ( non
empty Relation-like S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-defined Function-like total )
set ) ) : ( ( ) ( )
Element of
rng ( the Sorts of A : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total )
set ) : ( ( ) ( non
empty )
set ) ) ) st
R : ( (
Function-like V29(
o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) (
Relation-like o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) )
-defined S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-valued Function-like V29(
o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) )
Element of
K10(
K11(
o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) )
# a : ( ( ) (
Relation-like Function-like )
Element of
Args (
o : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) ,
A : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) : ( ( ) ( non
empty functional )
Element of
rng ( the Sorts of A : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total )
set ) : ( ( ) ( non
empty V4() )
set ) ) ) : ( ( ) (
Relation-like K170() : ( ( ) (
V42()
countable denumerable )
Element of
K10(
K166() : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) )
-defined Function-like (Class R : ( ( Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like V8() the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like V8() non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
ManySortedSet of the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )
* (the_arity_of o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) (
Relation-like K170() : ( ( ) (
V42()
countable denumerable )
Element of
K10(
K166() : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) )
-defined the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-valued Function-like V42()
countable FinSequence-like FinSubsequence-like )
Element of the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) ) : ( (
Relation-like ) (
Relation-like non-empty K170() : ( ( ) (
V42()
countable denumerable )
Element of
K10(
K166() : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) )
-defined dom (the_arity_of o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) (
Relation-like K170() : ( ( ) (
V42()
countable denumerable )
Element of
K10(
K166() : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) )
-defined the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-valued Function-like V42()
countable FinSequence-like FinSubsequence-like )
Element of the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) ) : ( ( ) (
countable )
Element of
K10(
K170() : ( ( ) (
V42()
countable denumerable )
Element of
K10(
K166() : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) ) ) : ( ( ) ( )
set ) )
-defined Function-like total )
set )
-compatible )
Element of
product ((Class R : ( ( Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) * (the_arity_of o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) ( Relation-like K170() : ( ( ) ( V42() countable denumerable ) Element of K10(K166() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V42() countable FinSequence-like FinSubsequence-like ) Element of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) : ( (
Relation-like ) (
Relation-like non-empty K170() : ( ( ) (
V42()
countable denumerable )
Element of
K10(
K166() : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) )
-defined dom (the_arity_of o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) (
Relation-like K170() : ( ( ) (
V42()
countable denumerable )
Element of
K10(
K166() : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) )
-defined the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-valued Function-like V42()
countable FinSequence-like FinSubsequence-like )
Element of the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) ) : ( ( ) (
countable )
Element of
K10(
K170() : ( ( ) (
V42()
countable denumerable )
Element of
K10(
K166() : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) ) ) : ( ( ) ( )
set ) )
-defined Function-like total )
set ) : ( ( ) ( non
empty functional with_common_domain product-like )
set ) )
in (((Class R : ( ( Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) * the Arity of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) Function-yielding Relation-yielding ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) ( )
set ) holds
it : ( ( ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Sorts of
o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
A : ( (
Relation-like S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-defined Function-like total ) ( non
empty Relation-like S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-defined Function-like total )
set ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) )
. (R : ( ( Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) # a : ( ( ) ( Relation-like Function-like ) Element of Args (o : ( ( ) ( ) OperSymbol of ( ( ) ( non empty ) set ) ) ,A : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) ( non empty functional ) Element of rng ( the Sorts of A : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) : ( ( ) ( non empty V4() ) set ) ) ) ) : ( ( ) (
Relation-like K170() : ( ( ) (
V42()
countable denumerable )
Element of
K10(
K166() : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) )
-defined Function-like (Class R : ( ( Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like V8() the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like V8() non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
ManySortedSet of the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )
* (the_arity_of o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) (
Relation-like K170() : ( ( ) (
V42()
countable denumerable )
Element of
K10(
K166() : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) )
-defined the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-valued Function-like V42()
countable FinSequence-like FinSubsequence-like )
Element of the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) ) : ( (
Relation-like ) (
Relation-like non-empty K170() : ( ( ) (
V42()
countable denumerable )
Element of
K10(
K166() : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) )
-defined dom (the_arity_of o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) (
Relation-like K170() : ( ( ) (
V42()
countable denumerable )
Element of
K10(
K166() : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) )
-defined the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-valued Function-like V42()
countable FinSequence-like FinSubsequence-like )
Element of the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) ) : ( ( ) (
countable )
Element of
K10(
K170() : ( ( ) (
V42()
countable denumerable )
Element of
K10(
K166() : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) ) ) : ( ( ) ( )
set ) )
-defined Function-like total )
set )
-compatible )
Element of
product ((Class R : ( ( Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) * (the_arity_of o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) ( Relation-like K170() : ( ( ) ( V42() countable denumerable ) Element of K10(K166() : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V42() countable FinSequence-like FinSubsequence-like ) Element of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) : ( (
Relation-like ) (
Relation-like non-empty K170() : ( ( ) (
V42()
countable denumerable )
Element of
K10(
K166() : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) )
-defined dom (the_arity_of o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) (
Relation-like K170() : ( ( ) (
V42()
countable denumerable )
Element of
K10(
K166() : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) )
-defined the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-valued Function-like V42()
countable FinSequence-like FinSubsequence-like )
Element of the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) ) : ( ( ) (
countable )
Element of
K10(
K170() : ( ( ) (
V42()
countable denumerable )
Element of
K10(
K166() : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) ) ) : ( ( ) ( )
set ) )
-defined Function-like total )
set ) : ( ( ) ( non
empty functional with_common_domain product-like )
set ) ) : ( ( ) (
Relation-like Function-like )
set )
= ((QuotRes (R : ( ( Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ,o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) )) : ( ( Function-like V29(( the Sorts of A : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( Relation-like ) ( non empty Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) . o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( ) set ) ,((Class R : ( ( Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( Relation-like ) ( non empty Relation-like non-empty non empty-yielding the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) . o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( ) set ) ) ) ( Relation-like ( the Sorts of A : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( Relation-like ) ( non empty Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) . o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( ) set ) -defined ((Class R : ( ( Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( Relation-like ) ( non empty Relation-like non-empty non empty-yielding the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) . o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( ) set ) -valued Function-like V29(( the Sorts of A : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( Relation-like ) ( non empty Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) . o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( ) set ) ,((Class R : ( ( Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( Relation-like ) ( non empty Relation-like non-empty non empty-yielding the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) . o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( ) set ) ) ) Function of ( the Sorts of A : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( Relation-like ) ( non empty Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) . o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( ) set ) ,((Class R : ( ( Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( Relation-like ) ( non empty Relation-like non-empty non empty-yielding the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) . o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( ) set ) ) * (Den (o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,A : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) )) : ( ( Function-like V29( Args (o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,A : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( ( ) ( ) Element of rng ( the Sorts of A : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) : ( ( ) ( non empty ) set ) ) , Result (o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,A : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( ( ) ( ) Element of rng the Sorts of A : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) : ( ( ) ( non empty ) set ) ) ) ) ( Relation-like Args (o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,A : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( ( ) ( ) Element of rng ( the Sorts of A : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) : ( ( ) ( non empty ) set ) ) -defined Result (o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,A : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( ( ) ( ) Element of rng the Sorts of A : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) : ( ( ) ( non empty ) set ) ) -valued Function-like V29( Args (o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,A : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( ( ) ( ) Element of rng ( the Sorts of A : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) : ( ( ) ( non empty ) set ) ) , Result (o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,A : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( ( ) ( ) Element of rng the Sorts of A : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) : ( ( ) ( non empty ) set ) ) ) ) Element of K10(K11((Args (o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,A : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) )) : ( ( ) ( ) Element of rng ( the Sorts of A : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) : ( ( ) ( non empty ) set ) ) ,(Result (o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,A : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) )) : ( ( ) ( ) Element of rng the Sorts of A : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Function-like ) (
Relation-like Args (
o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
A : ( (
Relation-like S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-defined Function-like total ) ( non
empty Relation-like S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-defined Function-like total )
set ) ) : ( ( ) ( )
Element of
rng ( the Sorts of A : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total )
set ) : ( ( ) ( non
empty )
set ) )
-defined ((Class R : ( ( Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. o : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) ( )
set )
-valued Function-like )
Element of
K10(
K11(
(Args (o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,A : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) )) : ( ( ) ( )
Element of
rng ( the Sorts of A : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total )
set ) : ( ( ) ( non
empty )
set ) ) ,
(((Class R : ( ( Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( Relation-like ) ( non empty Relation-like non-empty non empty-yielding the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) . o : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) : ( ( ) ( )
set ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) )
. a : ( ( ) (
Relation-like Function-like )
Element of
Args (
o : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) ,
A : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) : ( ( ) ( non
empty functional )
Element of
rng ( the Sorts of A : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total )
set ) : ( ( ) ( non
empty V4() )
set ) ) ) : ( ( ) ( )
set ) ;
end;
definition
let S be ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ;
let A be ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ;
let R be ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
MSCongruence of
A : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) ;
func QuotCharact R -> ( ( ) ( non
empty Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of
((Class R : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) #) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total )
set )
* the
Arity of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( (
Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) ) ) (
Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-valued Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) )
Function-yielding Relation-yielding )
Element of
K10(
K11( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ,
( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ,
(Class R : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( (
Relation-like V8() the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like V8() non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
ManySortedSet of the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )
* the
ResultSort of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( (
Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) ) (
Relation-like the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-valued Function-like V29( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) )
Element of
K10(
K11( the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) , the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) )
means
for
o being ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) holds
it : ( (
Function-like V29(
A : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) (
Relation-like A : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) )
-defined S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-valued Function-like V29(
A : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) )
Element of
K10(
K11(
A : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) )
. o : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( (
Function-like V29(
(((Class R : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) * the Arity of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) Function-yielding Relation-yielding ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ,
((Class R : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ) ) (
Relation-like (((Class R : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) * the Arity of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) Function-yielding Relation-yielding ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set )
-defined ((Class R : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set )
-valued Function-like V29(
(((Class R : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) * the Arity of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) Function-yielding Relation-yielding ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ,
((Class R : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ) )
Function of
(((Class R : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) * the Arity of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) Function-yielding Relation-yielding ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ,
((Class R : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) )
= QuotCharact (
R : ( (
Relation-like S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-defined Function-like total ) ( non
empty Relation-like S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-defined Function-like total )
set ) ,
o : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) ) : ( (
Function-like V29(
(((Class R : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) * the Arity of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) Function-yielding Relation-yielding ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ,
((Class R : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ) ) (
Relation-like (((Class R : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) * the Arity of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) Function-yielding Relation-yielding ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set )
-defined ((Class R : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set )
-valued Function-like V29(
(((Class R : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) * the Arity of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) Function-yielding Relation-yielding ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ,
((Class R : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ) )
Function of
(((Class R : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) #) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -defined Function-like total ) set ) * the Arity of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) * : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) Function-yielding Relation-yielding ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ,( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) *) : ( ( ) ( non empty functional FinSequence-membered ) M10( the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ,
((Class R : ( ( Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) ( non empty Relation-like S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -defined Function-like total ) set ) ) : ( ( Relation-like V8() the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like V8() non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ManySortedSet of the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) * the ResultSort of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) ( Relation-like the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -valued Function-like V29( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) ) Element of K10(K11( the carrier' of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) , the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
Relation-like ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier' of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
OperSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ) ;
end;
definition
let S be ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ;
let U1 be ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ;
let R be ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
MSCongruence of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) ;
let s be ( ( ) ( )
SortSymbol of ( ( ) ( non
empty )
set ) ) ;
func MSNat_Hom (
U1,
R,
s)
-> ( (
Function-like V29( the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. s : ( (
Function-like V29(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) (
Relation-like U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) )
-defined S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-valued Function-like V29(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) )
Element of
K10(
K11(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) ,
(Class R : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) ManySortedRelation of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) ) : ( (
Relation-like V8() the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like V8() non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
ManySortedSet of the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )
. s : ( (
Function-like V29(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) (
Relation-like U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) )
-defined S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-valued Function-like V29(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) )
Element of
K10(
K11(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) ) ) (
Relation-like the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. s : ( (
Function-like V29(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) (
Relation-like U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) )
-defined S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-valued Function-like V29(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) )
Element of
K10(
K11(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) ) : ( ( ) ( )
set )
-defined (Class R : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) ManySortedRelation of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) ) : ( (
Relation-like V8() the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like V8() non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
ManySortedSet of the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )
. s : ( (
Function-like V29(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) (
Relation-like U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) )
-defined S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-valued Function-like V29(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) )
Element of
K10(
K11(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) ) : ( ( ) ( )
set )
-valued Function-like V29( the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. s : ( (
Function-like V29(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) (
Relation-like U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) )
-defined S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-valued Function-like V29(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) )
Element of
K10(
K11(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) ,
(Class R : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) ManySortedRelation of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) ) : ( (
Relation-like V8() the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like V8() non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
ManySortedSet of the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )
. s : ( (
Function-like V29(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) (
Relation-like U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) )
-defined S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-valued Function-like V29(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) )
Element of
K10(
K11(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) ) )
Function of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. s : ( (
Function-like V29(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) (
Relation-like U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) )
-defined S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-valued Function-like V29(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) )
Element of
K10(
K11(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) ,
(Class R : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) ManySortedRelation of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) ) : ( (
Relation-like V8() the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like V8() non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
ManySortedSet of the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )
. s : ( (
Function-like V29(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) (
Relation-like U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) )
-defined S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-valued Function-like V29(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) )
Element of
K10(
K11(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) )
means
for
x being ( ( ) ( )
set ) st
x : ( ( ) ( )
set )
in the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. s : ( (
Function-like V29(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) (
Relation-like U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) )
-defined S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-valued Function-like V29(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) )
Element of
K10(
K11(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) holds
it : ( ( ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
R : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) )
. x : ( ( ) ( )
set ) : ( ( ) (
Relation-like Function-like )
set )
= Class (
(R : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) ManySortedRelation of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) . s : ( ( Function-like V29(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( (
V14()
V19()
total ) (
Relation-like the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. s : ( (
Function-like V29(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) (
Relation-like U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) )
-defined S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-valued Function-like V29(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) )
Element of
K10(
K11(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) ) : ( ( ) ( )
set )
-defined the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. s : ( (
Function-like V29(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) (
Relation-like U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) )
-defined S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-valued Function-like V29(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) )
Element of
K10(
K11(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) ) : ( ( ) ( )
set )
-valued V12()
V14()
V19()
total )
Equivalence_Relation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. s : ( (
Function-like V29(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) (
Relation-like U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) )
-defined S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-valued Function-like V29(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) )
Element of
K10(
K11(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) ) ,
x : ( ( ) ( )
set ) ) : ( ( ) ( )
Element of
K10(
( the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) . s : ( ( Function-like V29(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) ) ;
end;
definition
let S be ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ;
let U1 be ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ;
let R be ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
MSCongruence of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) ;
func MSNat_Hom (
U1,
R)
-> ( ( ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) )
means
for
s being ( ( ) ( )
SortSymbol of ( ( ) ( non
empty )
set ) ) holds
it : ( (
Function-like V29(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) (
Relation-like U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) )
-defined S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-valued Function-like V29(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) )
Element of
K10(
K11(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) )
. s : ( ( ) ( )
SortSymbol of ( ( ) ( non
empty )
set ) ) : ( (
Function-like V29( the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
SortSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) , the
Sorts of
(QuotMSAlg (U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,R : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) ManySortedRelation of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) )) : ( ( ) (
strict non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
SortSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ) ) (
Relation-like the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
SortSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set )
-defined the
Sorts of
(QuotMSAlg (U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,R : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) ManySortedRelation of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) )) : ( ( ) (
strict non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
SortSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set )
-valued Function-like V29( the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
SortSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) , the
Sorts of
(QuotMSAlg (U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,R : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) ManySortedRelation of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) )) : ( ( ) (
strict non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
SortSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ) )
Element of
K10(
K11(
( the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) . b1 : ( ( ) ( ) SortSymbol of ( ( ) ( non empty ) set ) ) ) : ( ( ) ( )
set ) ,
( the Sorts of (QuotMSAlg (U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,R : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) ManySortedRelation of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) )) : ( ( ) ( strict non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) . b1 : ( ( ) ( ) SortSymbol of ( ( ) ( non empty ) set ) ) ) : ( ( ) ( )
set ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) )
= MSNat_Hom (
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
R : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) ,
s : ( ( ) ( )
SortSymbol of ( ( ) ( non
empty )
set ) ) ) : ( (
Function-like V29( the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
SortSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ,
(Class R : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) ManySortedRelation of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) ) : ( (
Relation-like V8() the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like V8() non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
ManySortedSet of the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )
. b1 : ( ( ) ( )
SortSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ) ) (
Relation-like the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
SortSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set )
-defined (Class R : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) ManySortedRelation of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) ) : ( (
Relation-like V8() the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like V8() non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
ManySortedSet of the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )
. b1 : ( ( ) ( )
SortSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set )
-valued Function-like V29( the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
SortSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ,
(Class R : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) ManySortedRelation of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) ) : ( (
Relation-like V8() the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like V8() non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
ManySortedSet of the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )
. b1 : ( ( ) ( )
SortSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ) )
Function of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
SortSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ,
(Class R : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) ManySortedRelation of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) ) : ( (
Relation-like V8() the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like V8() non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
ManySortedSet of the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) )
. b1 : ( ( ) ( )
SortSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ) ;
end;
definition
let S be ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ;
let U1,
U2 be ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ;
let F be ( ( ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ;
let s be ( ( ) ( )
SortSymbol of ( ( ) ( non
empty )
set ) ) ;
func MSCng (
F,
s)
-> ( (
V14()
V19()
total ) (
Relation-like the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. s : ( ( ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( ( ) ( )
set )
-defined the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. s : ( ( ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( ( ) ( )
set )
-valued V12()
V14()
V19()
total )
Equivalence_Relation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. s : ( ( ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( ( ) ( )
set ) )
means
for
x,
y being ( ( ) ( )
Element of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. s : ( ( ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( ( ) ( )
set ) ) holds
(
[x : ( ( ) ( ) Element of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) . s : ( ( ) ( ) SortSymbol of ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ,y : ( ( ) ( ) Element of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) . s : ( ( ) ( ) SortSymbol of ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) ] : ( ( ) ( )
set )
in it : ( ( ) (
Relation-like Function-like )
Element of
Args (
F : ( (
Function-like V29(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) (
Relation-like U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) )
-defined S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-valued Function-like V29(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) )
Element of
K10(
K11(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) ) ,
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) : ( ( ) ( non
empty )
Element of
rng ( the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set ) ))
-defined Function-like total )
set ) : ( ( ) ( non
empty V4() )
set ) ) ) iff
(F : ( ( Function-like V29(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) . s : ( ( ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Function-yielding Relation-yielding ) ManySortedFunction of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U2 : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) ManySortedRelation of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) ) : ( (
Function-like V29( the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. s : ( ( ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
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ManySortedSign ) : ( ( ) ( non
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-defined Function-like total )
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Sorts of
U2 : ( (
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S : ( ( non
empty non
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empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
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-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
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empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
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S : ( ( non
empty non
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empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
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S : ( ( non
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ManySortedSign ) : ( ( ) ( non
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Sorts of
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non-empty )
MSAlgebra over
S : ( ( non
empty non
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empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
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S : ( ( non
empty non
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empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
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-defined Function-like total ) ( non
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S : ( ( non
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ManySortedSign ) : ( ( ) ( non
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Relation-like the
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S : ( ( non
empty non
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ManySortedSign ) : ( ( ) ( non
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-defined Function-like total ) ( non
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ManySortedSign ) : ( ( ) ( non
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S : ( ( non
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ManySortedSign ) : ( ( ) ( non
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-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
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empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
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empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
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-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
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empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
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-defined Function-like total )
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Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
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empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
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S : ( ( non
empty non
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empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
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empty Relation-like non-empty non
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carrier of
S : ( ( non
empty non
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empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
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-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
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empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
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empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
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set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
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carrier of
S : ( ( non
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ManySortedSign ) : ( ( ) ( non
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Relation-like the
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S : ( ( non
empty non
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void V68() )
ManySortedSign ) : ( ( ) ( non
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-defined Function-like total ) ( non
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S : ( ( non
empty non
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ManySortedSign ) : ( ( ) ( non
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Relation-like the
Sorts of
U1 : ( (
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MSAlgebra over
S : ( ( non
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void V68() )
ManySortedSign ) ) : ( (
Relation-like the
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S : ( ( non
empty non
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empty non
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ManySortedSign ) : ( ( ) ( non
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empty Relation-like non-empty non
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S : ( ( non
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ManySortedSign ) : ( ( ) ( non
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S : ( ( non
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void V68() )
ManySortedSign ) : ( ( ) ( non
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set )
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ManySortedFunction of the
Sorts of
U1 : ( (
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MSAlgebra over
S : ( ( non
empty non
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empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
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void V68() )
ManySortedSign ) : ( ( ) ( non
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empty Relation-like non-empty non
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carrier of
S : ( ( non
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ManySortedSign ) : ( ( ) ( non
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Sorts of
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S : ( ( non
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void V68() )
ManySortedSign ) : ( ( ) ( non
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-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
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MSAlgebra over
S : ( ( non
empty non
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empty non
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ManySortedSign ) ) : ( (
Relation-like the
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S : ( ( non
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ManySortedSign ) : ( ( ) ( non
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carrier of
S : ( ( non
empty non
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void V68() )
ManySortedSign ) : ( ( ) ( non
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set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
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void V68() )
ManySortedSign ) ) : ( (
Relation-like the
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S : ( ( non
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ManySortedSign ) : ( ( ) ( non
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ManySortedSign ) : ( ( ) ( non
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Relation-like the
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S : ( ( non
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ManySortedSign ) : ( ( ) ( non
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ManySortedSign ) : ( ( ) ( non
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Sorts of
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S : ( ( non
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ManySortedSign ) : ( ( ) ( non
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-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
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MSAlgebra over
S : ( ( non
empty non
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empty non
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ManySortedSign ) ) : ( (
Relation-like the
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S : ( ( non
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ManySortedSign ) : ( ( ) ( non
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ManySortedSign ) : ( ( ) ( non
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Sorts of
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MSAlgebra over
S : ( ( non
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ManySortedSign ) ) : ( (
Relation-like the
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S : ( ( non
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ManySortedSign ) : ( ( ) ( non
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ManySortedSign ) : ( ( ) ( non
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Relation-like the
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S : ( ( non
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void V68() )
ManySortedSign ) : ( ( ) ( non
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S : ( ( non
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void V68() )
ManySortedSign ) : ( ( ) ( non
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-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Sorts of
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MSAlgebra over
S : ( ( non
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void V68() )
ManySortedSign ) ) : ( (
Relation-like the
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S : ( ( non
empty non
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void V68() )
ManySortedSign ) : ( ( ) ( non
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ManySortedSign ) : ( ( ) ( non
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Sorts of
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S : ( ( non
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void V68() )
ManySortedSign ) : ( ( ) ( non
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set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
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MSAlgebra over
S : ( ( non
empty non
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empty non
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ManySortedSign ) ) : ( (
Relation-like the
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S : ( ( non
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ManySortedSign ) : ( ( ) ( non
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ManySortedSign ) : ( ( ) ( non
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Sorts of
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MSAlgebra over
S : ( ( non
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ManySortedSign ) ) : ( (
Relation-like the
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S : ( ( non
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ManySortedSign ) : ( ( ) ( non
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Relation-like the
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S : ( ( non
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ManySortedSign ) : ( ( ) ( non
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Sorts of
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MSAlgebra over
S : ( ( non
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Relation-like the
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S : ( ( non
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Sorts of
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void V68() )
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ManySortedRelation of the
Sorts of
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S : ( ( non
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ManySortedSign ) : ( ( ) ( non
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Sorts of
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ManySortedSign ) ) : ( (
Relation-like the
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S : ( ( non
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ManySortedSign ) : ( ( ) ( non
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Relation-like the
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ManySortedSign ) : ( ( ) ( non
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ManySortedSign ) : ( ( ) ( non
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Sorts of
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void V68() )
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-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
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S : ( ( non
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ManySortedSign ) ) : ( (
Relation-like the
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S : ( ( non
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Sorts of
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MSAlgebra over
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Relation-like the
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S : ( ( non
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Relation-like the
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void V68() )
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ManySortedFunction of the
Sorts of
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Relation-like the
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S : ( ( non
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ManySortedSign ) : ( ( ) ( non
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Sorts of
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void V68() )
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ManySortedRelation of the
Sorts of
U1 : ( (
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MSAlgebra over
S : ( ( non
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Relation-like the
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empty non
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ManySortedSign ) : ( ( ) ( non
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Sorts of
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MSAlgebra over
S : ( ( non
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void V68() )
ManySortedSign ) ) : ( (
Relation-like the
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S : ( ( non
empty non
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empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
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Relation-like the
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S : ( ( non
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void V68() )
ManySortedSign ) : ( ( ) ( non
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Element of
K10(
K11(
( the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) . s : ( ( ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Function-yielding Relation-yielding ) ManySortedFunction of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U2 : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) ManySortedRelation of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) ) : ( ( ) ( )
set ) ,
( the Sorts of U2 : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) ManySortedRelation of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) . s : ( ( ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Function-yielding Relation-yielding ) ManySortedFunction of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U2 : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) ManySortedRelation of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) ) : ( ( ) ( )
set ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) )
. x : ( ( ) ( )
Element of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. s : ( ( ) ( )
SortSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
Element of the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. s : ( ( ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( ( ) ( )
set ) )
= (F : ( ( Function-like V29(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) . s : ( ( ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Function-yielding Relation-yielding ) ManySortedFunction of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U2 : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) ManySortedRelation of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) ) : ( (
Function-like V29( the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. s : ( ( ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( ( ) ( )
set ) , the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. s : ( ( ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( ( ) ( )
set ) ) ) (
Relation-like the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. s : ( ( ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( ( ) ( )
set )
-defined the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. s : ( ( ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( ( ) ( )
set )
-valued Function-like V29( the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
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. s : ( ( ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( ( ) ( )
set ) , the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. s : ( ( ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( ( ) ( )
set ) ) )
Element of
K10(
K11(
( the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) . s : ( ( ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Function-yielding Relation-yielding ) ManySortedFunction of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U2 : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) ManySortedRelation of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) ) : ( ( ) ( )
set ) ,
( the Sorts of U2 : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) ManySortedRelation of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) . s : ( ( ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Function-yielding Relation-yielding ) ManySortedFunction of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U2 : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) ManySortedRelation of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) ) : ( ( ) ( )
set ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) )
. y : ( ( ) ( )
Element of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. s : ( ( ) ( )
SortSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
Element of the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. s : ( ( ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( ( ) ( )
set ) ) );
end;
definition
let S be ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ;
let U1,
U2 be ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ;
let F be ( ( ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ;
let s be ( ( ) ( )
SortSymbol of ( ( ) ( non
empty )
set ) ) ;
assume
F : ( ( ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) )
is_homomorphism U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
U2 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) )
;
func MSHomQuot (
F,
s)
-> ( (
Function-like V29( the
Sorts of
(QuotMSAlg (U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,(MSCng F : ( ( Function-like V29(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) MSCongruence of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) )) : ( ( ) (
strict non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. s : ( ( ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( ( ) ( )
set ) , the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. s : ( ( ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( ( ) ( )
set ) ) ) (
Relation-like the
Sorts of
(QuotMSAlg (U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,(MSCng F : ( ( Function-like V29(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) MSCongruence of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) )) : ( ( ) (
strict non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. s : ( ( ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( ( ) ( )
set )
-defined the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. s : ( ( ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( ( ) ( )
set )
-valued Function-like V29( the
Sorts of
(QuotMSAlg (U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,(MSCng F : ( ( Function-like V29(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) MSCongruence of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) )) : ( ( ) (
strict non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. s : ( ( ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( ( ) ( )
set ) , the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. s : ( ( ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( ( ) ( )
set ) ) )
Function of the
Sorts of
(QuotMSAlg (U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,(MSCng F : ( ( Function-like V29(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) MSCongruence of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) )) : ( ( ) (
strict non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
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ManySortedFunction of the
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S : ( ( non
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Relation-like the
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Sorts of
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ManySortedRelation of the
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MSAlgebra over
S : ( ( non
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Sorts of
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S : ( ( non
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Relation-like the
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Sorts of
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ManySortedRelation of the
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MSAlgebra over
S : ( ( non
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Relation-like the
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Sorts of
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Relation-like the
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Sorts of
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ManySortedRelation of the
Sorts of
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S : ( ( non
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S : ( ( non
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Sorts of
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S : ( ( non
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Relation-like the
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Relation-like the
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means
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Element of the
Sorts of
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S : ( ( non
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Relation-like the
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S : ( ( non
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S : ( ( non
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void V68() )
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ManySortedFunction of the
Sorts of
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S : ( ( non
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Relation-like the
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Sorts of
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carrier of
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ManySortedRelation of the
Sorts of
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non-empty ) (
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MSAlgebra over
S : ( ( non
empty non
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Relation-like the
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Sorts of
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S : ( ( non
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Relation-like the
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Relation-like the
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it : ( ( ) (
Relation-like Function-like )
Element of
Args (
F : ( (
Function-like V29(
U1 : ( (
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non-empty )
MSAlgebra over
S : ( ( non
empty non
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ManySortedSign ) ) ,
S : ( ( non
empty non
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ManySortedSign ) ) ) (
Relation-like U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) )
-defined S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-valued Function-like V29(
U1 : ( (
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non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
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ManySortedSign ) ) ,
S : ( ( non
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void ) ( non
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ManySortedSign ) ) )
Element of
K10(
K11(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
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Relation-like )
set ) ) : ( ( ) ( )
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U1 : ( (
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MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) : ( ( ) ( non
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Element of
rng ( the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) #) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
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* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
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void V68() )
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empty )
set ) ))
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
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void V68() )
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empty )
set )
* : ( ( ) ( non
empty functional FinSequence-membered )
M10( the
carrier of
S : ( ( non
empty non
void ) ( non
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void V68() )
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set ) ) )
. (Class ((MSCng (F : ( ( Function-like V29(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ,s : ( ( ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Function-yielding Relation-yielding ) ManySortedFunction of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U2 : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) ManySortedRelation of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) )) : ( ( V14() V19() total ) ( Relation-like the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) . s : ( ( ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Function-yielding Relation-yielding ) ManySortedFunction of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U2 : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) ManySortedRelation of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) : ( ( ) ( ) set ) -defined the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) . s : ( ( ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Function-yielding Relation-yielding ) ManySortedFunction of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U2 : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) ManySortedRelation of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) : ( ( ) ( ) set ) -valued V12() V14() V19() total ) Equivalence_Relation of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) . s : ( ( ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Function-yielding Relation-yielding ) ManySortedFunction of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U2 : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) ManySortedRelation of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) : ( ( ) ( ) set ) ) ,x : ( ( ) ( ) Element of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) . s : ( ( ) ( ) SortSymbol of ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) )) : ( ( ) ( )
Element of
K10(
( the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) . s : ( ( ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Function-yielding Relation-yielding ) ManySortedFunction of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U2 : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) ManySortedRelation of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) ) : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) ) : ( ( ) ( )
set )
= (F : ( ( Function-like V29(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) . s : ( ( ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Function-yielding Relation-yielding ) ManySortedFunction of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U2 : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) ManySortedRelation of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) ) : ( (
Function-like V29( the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. s : ( ( ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( ( ) ( )
set ) , the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. s : ( ( ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( ( ) ( )
set ) ) ) (
Relation-like the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. s : ( ( ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( ( ) ( )
set )
-defined the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. s : ( ( ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( ( ) ( )
set )
-valued Function-like V29( the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
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empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( ( ) ( )
set ) , the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. s : ( ( ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( ( ) ( )
set ) ) )
Element of
K10(
K11(
( the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) . s : ( ( ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Function-yielding Relation-yielding ) ManySortedFunction of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U2 : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) ManySortedRelation of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) ) : ( ( ) ( )
set ) ,
( the Sorts of U2 : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) ManySortedRelation of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) . s : ( ( ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Function-yielding Relation-yielding ) ManySortedFunction of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U2 : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) ManySortedRelation of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) ) : ( ( ) ( )
set ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) )
. x : ( ( ) ( )
Element of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. s : ( ( ) ( )
SortSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
Element of the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. s : ( ( ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( ( ) ( )
set ) ) ;
end;
definition
let S be ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ;
let U1,
U2 be ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ;
let F be ( ( ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ;
func MSHomQuot F -> ( ( ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) )
means
for
s being ( ( ) ( )
SortSymbol of ( ( ) ( non
empty )
set ) ) holds
it : ( ( ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Function-yielding Relation-yielding )
ManySortedFunction of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) )
. s : ( ( ) ( )
SortSymbol of ( ( ) ( non
empty )
set ) ) : ( (
Function-like V29( the
Sorts of
(QuotMSAlg (U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,(MSCng F : ( ( Function-like V29(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) MSCongruence of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) )) : ( ( ) (
strict non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
SortSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) , the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
SortSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ) ) (
Relation-like the
Sorts of
(QuotMSAlg (U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,(MSCng F : ( ( Function-like V29(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) MSCongruence of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) )) : ( ( ) (
strict non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
SortSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set )
-defined the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
SortSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set )
-valued Function-like V29( the
Sorts of
(QuotMSAlg (U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,(MSCng F : ( ( Function-like V29(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) MSCongruence of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) )) : ( ( ) (
strict non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
SortSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) , the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
SortSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ) )
Element of
K10(
K11(
( the Sorts of (QuotMSAlg (U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,(MSCng F : ( ( Function-like V29(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) MSCongruence of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) )) : ( ( ) ( strict non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) . b1 : ( ( ) ( ) SortSymbol of ( ( ) ( non empty ) set ) ) ) : ( ( ) ( )
set ) ,
( the Sorts of U2 : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) ManySortedRelation of the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) , the Sorts of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like non-empty non empty-yielding the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) : ( ( Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) . b1 : ( ( ) ( ) SortSymbol of ( ( ) ( non empty ) set ) ) ) : ( ( ) ( )
set ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) )
= MSHomQuot (
F : ( (
Function-like V29(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ) (
Relation-like U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) )
-defined S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign )
-valued Function-like V29(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) )
Element of
K10(
K11(
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) ,
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( ( ) (
Relation-like )
set ) ) : ( ( ) ( )
set ) ) ,
s : ( ( ) ( )
SortSymbol of ( ( ) ( non
empty )
set ) ) ) : ( (
Function-like V29( the
Sorts of
(QuotMSAlg (U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,(MSCng F : ( ( Function-like V29(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) MSCongruence of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) )) : ( ( ) (
strict non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
SortSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) , the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
SortSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ) ) (
Relation-like the
Sorts of
(QuotMSAlg (U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,(MSCng F : ( ( Function-like V29(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) MSCongruence of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) )) : ( ( ) (
strict non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
SortSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set )
-defined the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
SortSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set )
-valued Function-like V29( the
Sorts of
(QuotMSAlg (U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,(MSCng F : ( ( Function-like V29(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) MSCongruence of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) )) : ( ( ) (
strict non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
SortSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) , the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
SortSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ) )
Function of the
Sorts of
(QuotMSAlg (U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,(MSCng F : ( ( Function-like V29(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) ( Relation-like U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) -defined S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) -valued Function-like V29(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) Element of K10(K11(U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ,S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( MSEquivalence-like MSCongruence-like ) ( non empty Relation-like the carrier of S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) : ( ( ) ( non empty ) set ) -defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like ) MSCongruence of U1 : ( ( non-empty ) ( non-empty ) MSAlgebra over S : ( ( non empty non void ) ( non empty non void V68() ) ManySortedSign ) ) ) )) : ( ( ) (
strict non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
SortSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) , the
Sorts of
U2 : ( (
MSEquivalence-like MSCongruence-like ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total Relation-yielding MSEquivalence-like MSCongruence-like )
ManySortedRelation of the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) , the
Sorts of
U1 : ( (
non-empty ) (
non-empty )
MSAlgebra over
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like non-empty non
empty-yielding the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set ) ) : ( (
Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total ) ( non
empty Relation-like the
carrier of
S : ( ( non
empty non
void ) ( non
empty non
void V68() )
ManySortedSign ) : ( ( ) ( non
empty )
set )
-defined Function-like total )
set )
. b1 : ( ( ) ( )
SortSymbol of ( ( ) ( non
empty )
set ) ) : ( ( ) ( )
set ) ) ;
end;